Edit Profile (opens in new tab) Aptekarev, Alexander Ivanovich Co-Author Distance Author ID: aptekarev.alexander-i Published as: Aptekarev, A. I.; Aptekarev, Alexander I.; Aptekarev, A.; Aptekarev, Aleksandr I.; Aptekarev, Alexander; Aptekarev, Alexandre I. more...less External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND Documents Indexed: 139 Publications since 1980, including 4 Additional arXiv Preprints 1 Contribution as Editor Biographic References: 1 Publication Co-Authors: 158 Co-Authors with 116 Joint Publications 4,674 Co-Co-Authors all top 5 Co-Authors 23 single-authored 26 Tulyakov, Dmitrii N. 12 Van Assche, Walter 10 Dehesa, Jesús S. 8 Denisov, Sergey A. 8 Kalyagin, Valery A. 8 Yattselev, Maxim L. 7 Lysov, Vladimir G. 7 Martínez-Finkelshtein, Andrei 6 López Lagomasino, Guillermo Tomás 5 Afendikov, Andrei Leonidovich 5 Chetverushkin, Boris Nikolaevich 5 Kozlov, Valeriĭ Vasil’evich 5 Rykov, Yurii G. 4 Buyarov, V. S. 4 Draux, André 4 Kaliaguine, Valeri A. 4 Marcellán Español, Francisco 4 Yáñez, Rafael J. 3 Branquinho, Amílcar José Pinto Lopes 3 Cachafeiro, Alicia 3 Derevyagin, Maxim S. 3 Kuijlaars, Arno B. J. 3 Mazhukin, Vladimir I. 3 Rocha, Ignacio A. 3 Sergeev, Armen Glebovich 3 Suetin, Sergeĭ Pavlovich 3 Volevich, Leonid Romanovich 3 Vvedenskaya, Nikita Dmitrievna 2 Agranovich, Mikhail Semënovich 2 Belega, Elena D. 2 Berriochoa, Elías 2 Bogolyubskiĭ, Alekseĭ Igor’evich 2 Bukhshtaber, Viktor Matveevich 2 Buslaev, Viktor Ivanovich 2 Dubinin, Vladimir N. 2 Dudnikova, Tat’yana V. 2 Fomenko, Anatoliĭ Timofeevich 2 Geronimo, Jeffrey S. 2 Goryainov, Viktor V. 2 Ilyashenko, Yulij Sergeevich 2 Kashin, Boris Sergeevich 2 Koroleva, Olga N. 2 Kruzhilin, Nikolai Georgievich 2 Lapik, M. A. 2 Nemirovskiĭ, Stefan Yur’evich 2 Nikishin, Evgenii Mikhailovich 2 Novikov, Sergeĭ Petrovich 2 2 Paramonov, Peter V. 2 Potapov, Mikhaĭl Konstantinovich 2 Saff, Edward Barry 2 Shidlovskiĭ, Andrei Borisovich 2 Sinaĭ, Yakov Grigor’evich 2 Stahl, Herbert Robert 2 Tikhomirov, Vladimir Mikhaĭlovich 2 Totik, Vilmos 2 Treshchev, Dmitriĭ Valer’evich 2 Ul’yanov, Pëtr Lavrent’evich 1 Afendikova, N. G. 1 Aksent’ev, Leonid Aleksandrovich 1 Alexis, Michel 1 Apushkinskaya, Darya E. 1 Arvesú, Jorge 1 Ataullakhanov, Fazoil I. 1 Balabaev, N. K. 1 Batkhin, Alexandr B. 1 Beloshapka, Valeriĭ K. 1 Besov, Oleg Vladimirovich 1 Bikchentaev, Aĭrat Midkhatovich 1 Biktashev, Vadim N. 1 Biktasheva, I. V. 1 Bleher, Pavel M. 1 Borisyuk, Roman M. 1 Borodin, Petr A. 1 Bruno, Alexander Dmitrievich 1 Burenkov, Viktor Ivanovich 1 Castro, Mirta M. 1 Chirka, Evgeniĭ Mikhaĭlovich 1 Dagkesamanskii, R. D. 1 Degeza, I. S. 1 Demidenko, Gennadiĭ Vladimirovich 1 Demin, Mikhail M. 1 Dobrokhotov, Sergei Yurievich 1 Elizarov, A. M. 1 Faddeev, Lyudvig Dmitrievich 1 Fuchs, Dmitry Borisovich 1 Galanin, M. P. 1 Gamkrelidze, Revaz Valerianovich 1 Gindikin, Simon Grigorevich 1 Godunov, Sergeĭ Konstantinovich 1 Gol’dman, Mikhail L’vovich 1 Gorbunov-Posadov, M. M. 1 Gromov, Mikhael Leonidovich 1 Kayumov, Il’giz Rifatovich 1 Kazandjan, É. P. 1 Kesel’man, V. M. 1 Khibnik, Alexander I. 1 Khovanskiĭ, Askold Georgievich 1 Kolesnichenko, Aleksander V. 1 Kontsevich, Maxim ...and 60 more Co-Authors all top 5 Serials 21 Russian Mathematical Surveys 9 Journal of Approximation Theory 7 Sbornik: Mathematics 6 Journal of Computational and Applied Mathematics 6 Doklady Mathematics 5 Mathematical Notes 5 Proceedings of the Steklov Institute of Mathematics 4 Mathematics of the USSR, Sbornik 4 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 4 Russian Journal of Mathematical Physics 3 Matematicheskiĭ Sbornik. Novaya Seriya 3 Transactions of the Moscow Mathematical Society 3 Constructive Approximation 3 Mathematica Montisnigri 3 Lobachevskii Journal of Mathematics 3 Journal of Physics A: Mathematical and Theoretical 2 Journal of Mathematical Physics 2 Moscow University Mathematics Bulletin 2 Theoretical and Mathematical Physics 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Russian Academy of Sciences. Sbornik. Mathematics 2 Journal of Mathematical Sciences (New York) 2 Izvestiya: Mathematics 1 Communications in Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 Nonlinearity 1 Rocky Mountain Journal of Mathematics 1 Acta Mathematica 1 Acta Applicandae Mathematicae 1 Journal of the American Mathematical Society 1 IMRN. International Mathematics Research Notices 1 Journal of Physics A: Mathematical and General 1 Matematicheskiĭ Sbornik 1 Journal of Mathematical Chemistry 1 Matematicheskoe Modelirovanie 1 Computational Methods and Function Theory 1 IMRP. International Mathematics Research Papers 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Chebyshevskiĭ Sbornik 1 Journal of Spectral Theory 1 Analysis and Mathematical Physics 1 Mechanics of Solids all top 5 Fields 45 Approximations and expansions (41-XX) 42 Harmonic analysis on Euclidean spaces (42-XX) 40 Special functions (33-XX) 29 Functions of a complex variable (30-XX) 21 History and biography (01-XX) 16 Operator theory (47-XX) 10 Information and communication theory, circuits (94-XX) 9 Difference and functional equations (39-XX) 7 Partial differential equations (35-XX) 6 Ordinary differential equations (34-XX) 6 Quantum theory (81-XX) 5 Number theory (11-XX) 5 Potential theory (31-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Probability theory and stochastic processes (60-XX) 5 Fluid mechanics (76-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Numerical analysis (65-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 General and overarching topics; collections (00-XX) 2 Algebraic geometry (14-XX) 2 Sequences, series, summability (40-XX) 2 Functional analysis (46-XX) 2 Manifolds and cell complexes (57-XX) 2 Mechanics of deformable solids (74-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Integral transforms, operational calculus (44-XX) 1 Statistics (62-XX) 1 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 102 Publications have been cited 1,331 times in 713 Documents Cited by ▼ Year ▼ Multiple orthogonal polynomials. Zbl 0958.42015 Aptekarev, A. I. 103 1998 Multiple orthogonal polynomials for classical weights. Zbl 1033.33002 Aptekarev, A. I.; Branquinho, A.; Van Assche, W. 90 2003 Large \(n\) limit of Gaussian random matrices with external source. II. Zbl 1129.82014 Aptekarev, Alexander I.; Bleher, Pavel M.; Kuijlaars, Arno B. J. 80 2005 The genetic sums’ representation for the moments of a system of Stieltjes functions and its application. Zbl 0966.41009 Aptekarev, A.; Kaliaguine, V.; Van Iseghem, J. 45 2000 The scattering problem for a discrete Sturm-Liouville operator. Zbl 0557.34017 Aptekarev, A. I.; Nikishin, E. M. 40 1984 Asymptotic properties of polynomials orthogonal on a system of contours, and periodic motions of Toda lattices. Zbl 0608.42016 Aptekarev, A. I. 39 1986 Scattering problem for the discrete Sturm-Liouville operator. Zbl 0527.34024 Aptekarev, A. I.; Nikishin, E. M. 36 1983 Systems of Markov functions generated by graphs and the asymptotics of their Hermite-Padé approximants. Zbl 1188.42009 Aptekarev, A. I.; Lysov, V. G. 32 2010 Higher-order three-term recurrences and asymptotics of multiple orthogonal polynomials. Zbl 1189.41007 Aptekarev, A. I.; Kalyagin, V. A.; Saff, E. B. 30 2009 Hermite-Padé approximations and multiple orthogonal polynomial ensembles. Zbl 1243.41004 Aptekarev, A. I.; Kuijlaars, A. B. J. 29 2011 Sharp constants for rational approximations of analytic functions. Zbl 1041.30014 Aptekarev, A. I. 29 2002 Semiclassical multiple orthogonal polynomials and the properties of Jacobi-Bessel polynomials. Zbl 0878.33004 Aptekarev, A. I.; Marcellán, F.; Rocha, I. A. 27 1997 Strong asymptotics of multiple orthogonal polynomials for Nikishin systems. Zbl 0957.42015 Aptekarev, A. I. 26 1999 Spatial entropy of central potentials and strong asymptotics of orthogonal polynomials. Zbl 0816.94010 Aptekarev, A. I.; Dehesa, J. S.; Yáñez, R. J. 26 1994 Padé approximants, continued fractions, and orthogonal polynomials. Zbl 1242.41014 Aptekarev, A. I.; Buslaev, V. I.; Martínez-Finkelshtein, A.; Suetin, S. P. 26 2011 Toda-type differential equations for the recurrence coefficients of orthogonal polynomials and Freud transformation. Zbl 0886.33007 Aptekarev, A. I.; Branquinho, A.; Marcellán, F. 26 1997 Ratio asymptotics of Hermite-Padé polynomials for Nikishin systems. Zbl 1077.42015 Aptekarev, A. I.; López, G. L.; Rocha, I. A. 25 2005 On the limit behavior of recurrence coefficients for multiple orthogonal polynomials. Zbl 1140.42011 Aptekarev, A. I.; Kalyagin, V.; López Lagomasino, G.; Rocha, I. A. 25 2006 Scalar and matrix Riemann-Hilbert approach to the strong asymptotics of Padé approximants and complex orthogonal polynomials with varying weight. Zbl 1061.30035 Aptekarev, A. I.; Van Assche, W. 25 2004 Random matrices with external source and the asymptotic behaviour of multiple orthogonal polynomials. Zbl 1216.60008 Aptekarev, A. I.; Lysov, V. G.; Tulyakov, D. N. 25 2011 Padé approximants for functions with branch points – strong asymptotics of Nuttall-Stahl polynomials. Zbl 1339.41020 Aptekarev, Alexander I.; Yattselev, Maxim L. 23 2015 Strong asymptotics of Laguerre polynomials and information entropies of two-dimensional harmonic oscillator and one-dimensional Coulomb potentials. Zbl 1044.81563 Dehesa, J. S.; Yáñez, R. J.; Aptekarev, A. I.; Buyarov, V. 22 1998 Asymptotics of Hermite-Padé polynomials. Zbl 0806.41001 Aptekarev, A. I.; Stahl, H. 22 1992 Criterion for the resolvent set of nonsymmetric tridiagonal operators. Zbl 0824.47017 Aptekarev, A. I.; Kaliaguine, V.; Van Assche, Walter 22 1995 Asymptotics of Hermite-Padé rational approximants for two analytic functions with separated pairs of branch points (case of genus 0). Zbl 1156.41004 Aptekarev, Alexander I.; Kuijlaars, Arno B. J.; Van Assche, Walter 22 2008 Asymptotic behavior of the \(L^ p\)-norms and the entropy for general orthogonal polynomials. Zbl 0862.46014 Aptekarev, A. I.; Buyarov, V. S.; Degeza, I. S. 19 1994 Asymptotics of orthogonal polynomial’s entropy. Zbl 1183.94013 Aptekarev, A. I.; Dehesa, J. S.; Martinez-Finkelshtein, A. 17 2010 Asymptotics of Hermite-Padé approximants for two functions with branch points. Zbl 1181.30022 Aptekarev, A. I. 16 2008 Complex rational approximation and difference operators. Zbl 0917.47028 Aptekarev, A.; Kaliaguine, V. 13 1998 Asymptotics of simultaneously orthogonal polynomials in the Angelesco case. Zbl 0744.42008 Aptekarev, A. I. 13 1989 Discrete integrable systems generated by Hermite-Padé approximants. Zbl 1341.42043 Aptekarev, Alexander I.; Derevyagin, Maxim; van Assche, Walter 13 2016 Multidimensional Toda lattices: continuous and discrete time. Zbl 1341.42042 Aptekarev, Alexander I.; Derevyagin, Maxim; Miki, Hiroshi; Van Assche, Walter 13 2016 Asymptotics of discrete orthogonal polynomials and the continuum limit of the Toda lattice. Zbl 1018.37042 Aptekarev, A. I.; Van Assche, W. 11 2001 Hermite-Padé approximants for a pair of Cauchy transforms with overlapping symmetric supports. Zbl 1362.41001 Aptekarev, Alexander I.; van Assche, Walter; Yattselev, Maxim L. 11 2017 Equilibrium of vector potentials and uniformization of the algebraic curves of genus \(0\). Zbl 1183.33012 Aptekarev, A. I.; Kalyagin, V. A.; Lysov, V. G.; Toulyakov, D. N. 11 2009 Self-adjoint Jacobi matrices on trees and multiple orthogonal polynomials. Zbl 1433.42027 Aptekarev, Alexander I.; Denisov, Sergey A.; Yattselev, Maxim L. 11 2020 On a problem by Steklov. Zbl 1348.42024 Aptekarev, A.; Denisov, S.; Tulyakov, D. 10 2016 Convergence of ray sequences of Frobenius-Padé approximants. Zbl 1373.41009 Aptekarev, Alexander I.; Bogolyubskii, Aleksei I.; Yattselev, Maxim L. 10 2017 Measures for orthogonal polynomials with unbounded recurrence coefficients. Zbl 1343.42037 Aptekarev, A. I.; Geronimo, J. S. 10 2016 Asymptotics of \(L_p\)-norms of Hermite polynomials and Rényi entropy of Rydberg oscillator states. Zbl 1318.94027 Aptekarev, A. I.; Dehesa, J. S.; Sánchez-Moreno, P.; Tulyakov, D. N. 9 2012 Asymptotics of entropy integrals for orthogonal polynomials. Zbl 0892.33005 Aptekarev, A. I.; Buyarov, V. S.; Van Assche, W.; Dehesa, J. S. 9 1996 Asymptotics of orthogonal polynomials in the neighborhood of the endpoints of the interval of orthogonality. Zbl 0782.33005 Aptekarev, A. I. 9 1992 Quantum expectation values of \(D\)-dimensional Rydberg hydrogenic states by use of Laguerre and Gegenbauer asymptotics. Zbl 1188.81183 Aptekarev, A. I.; Dehesa, J. S.; Martínez-Finkelshtein, A.; Yáñez, R. J. 9 2010 Strong asymptotics for the continuous Sobolev orthogonal polynomials on the unit circle. Zbl 0934.42017 Aptekarev, A.; Berriochoa, E.; Cachafeiro, A. 8 1999 Global eigenvalue distribution regime of random matrices with an anharmonic potential and an external source. Zbl 1180.82071 Aptekarev, A. I.; Lysov, V. G.; Tulyakov, D. N. 8 2009 The Mhaskar-Saff variational principle and location of the shocks’ of certain hyperbolic equations. Zbl 1350.41012 Aptekarev, A. I. 8 2016 On Nikishin systems with discrete components and weak asymptotics of multiple orthogonal polynomials. Zbl 1379.42011 Aptekarev, A. I.; López Lagomasino, G.; Martínez-Finkelshtein, A. 8 2017 Variational principle for multidimensional conservation laws and pressureless media. Zbl 1439.35316 Aptekarev, Aleksandr I.; Rykov, Yuriĭ G. 8 2019 On the variational representation of solutions to some quasilinear equations and systems of hyperbolic type on the basis of potential theory. Zbl 1223.35224 Aptekarev, A. I.; Rykov, Yu. G. 8 2006 Padé approximants and complex high order Toda lattices. Zbl 1031.42026 Aptekarev, A. I.; Branquinho, A. 8 2003 On 2D discrete Schrödinger operators associated with multiple orthogonal polynomials. Zbl 1393.39012 Aptekarev, A. I.; Derevyagin, M.; van Assche, W. 7 2015 Hyperelliptic uniformization of algebraic curves of the third order. Zbl 1312.33022 Aptekarev, A. I.; Toulyakov, D. N.; Van Assche, W. 7 2015 The leading term of the Plancherel-Rotach asymptotic formula for solutions of recurrence relations. Zbl 1317.39001 Aptekarev, A. I.; Tulyakov, D. N. 7 2014 Rational approximations of Euler’s constant and recurrence relations. Collection of articles. (Рациональные приближения постояннои Еилера и рекуррентные соотношения. Сборник статеи.) Zbl 1134.41001 7 2007 Asymptotics of sharp constants of Markov-Bernstein inequalities in integral norm with Jacobi weight. Zbl 1332.41011 Aptekarev, A. I.; Draux, A.; Kalyagin, V. A.; Tulyakov, D. N. 6 2015 Asymptotics of Meixner polynomials and Christoffel-Darboux kernels. Zbl 1271.33003 Aptekarev, A. I.; Tulyakov, D. N. 6 2012 Discrete entropies of orthogonal polynomials. Zbl 1177.33018 Aptekarev, A. I.; Dehesa, J. S.; Martínez-Finkelshtein, A.; Yáñez, R. 6 2009 Asymptotics of polynomials of simultaneous orthogonality in Angelesko’s case. Zbl 0681.42015 Aptekarev, A. I. 6 1988 On the Padé approximations to the set \(\{_ 1F_ 1(1,c;\lambda_ iz)\}^ k_{i=1}\). Zbl 0459.41010 Aptekarev, A. I. 5 1981 Asymptotics of \(L_p\)-norms of Laguerre polynomials. Zbl 1346.42030 Aptekarev, A. I.; Tulyakov, D. N. 5 2015 Detailed description of the evolution mechanism for singularities in the system of pressureless gas dynamics. Zbl 1461.76376 Aptekarev, A. I.; Rykov, Yu. G. 5 2019 Asymptotic behavior of orthogonal polynomials in the neighborhood of the ends of the orthogonality interval. Zbl 0772.33003 Aptekarev, A. I. 5 1992 Rényi entropy of the infinite well potential in momentum space and Dirichlet-like trigonometric functionals. Zbl 1282.44004 Aptekarev, A. I.; Dehesa, J. S.; Sánchez-Moreno, P.; Tulyakov, D. N. 5 2012 Varying weights for orthogonal polynomials with monotonically varying recurrence coefficients. Zbl 1143.42027 Aptekarev, A. I.; Geronimo, J. S.; Van Assche, W. 5 2008 Orthogonal polynomials with respect to a differential operator. Existence and uniqueness. Zbl 1029.42018 Aptekarev, A. I.; López Lagomasino, G. T.; Marcellán, F. 5 2002 Spectral problems of high-order recurrences. Zbl 1335.47020 Aptekarev, A. I. 4 2014 On the asymptotics of sharp constants in Markov-Bernstein inequalities in integral metrics with classical weight. Zbl 0957.41008 Aptekarev, A. I.; Draux, A.; Kalyagin, V. A. 4 2000 Asymptotic \(\gamma\)-forms generated by multiple orthogonal polynomials. Zbl 1317.33004 Aptekarev, A. I.; Lysov, V. G. 4 2011 Nuttall’s abelian integral on the Riemann surface of the cube root of a polynomial of degree 3. Zbl 1361.30068 Aptekarev, Alexander I.; Tulyakov, Dmitrii N. 4 2016 Discrete spectra of certain co-recursive Pollaczek polynomials and its applications. Zbl 1061.33005 Aptekarev, Alexandre I.; Draux, André; Toulyakov, Dmitrii 4 2002 On the convergence of rational approximations to a set of exponential curves. Zbl 0453.41016 Aptekarev, A. I. 3 1981 Differential equations for the recurrence coefficients limits for multiple orthogonal polynomials from a Nevai class. Zbl 1440.42115 Aptekarev, Alexander I.; Kozhan, Rostyslav 3 2020 Multilevel interpolation for Nikishin systems and boundedness of Jacobi matrices on binary trees. Zbl 07505216 Aptekarev, Alexander I.; Lysov, Vladimir G. 3 2021 V. A. Steklov’s problem of estimating the growth of orthogonal polynomials. Zbl 1342.33016 Aptekarev, A. I.; Denisov, S. A.; Tulyakov, D. N. 3 2015 On the parametrization of a certain algebraic curve of genus 2. Zbl 1338.30031 Aptekarev, A. I.; Toulyakov, D. N.; Yattselev, M. L. 3 2015 Asymptotic expansions for polynomials orthogonal with respect to a complex non-constant weight function. Zbl 1211.42025 Aptekarev, A.; Khabibullin, R. 3 2007 Direct and inverse problems for vector logarithmic potentials with external fields. Zbl 1428.41016 Aptekarev, A. I.; Lapik, M. A.; Lysov, V. G. 3 2019 Convergence of rational approximations to a set of exponents. Zbl 0465.41003 Aptekarev, A. I. 2 1981 Asymptotics for multiple Meixner polynomials. Zbl 1331.33028 Aptekarev, A.; Arvesú, J. 2 2014 On asymptotics of the sharp constants of the Markov-Bernshtein inequalities for the Sobolev spaces. Zbl 1400.41022 Aptekarev, A. I.; Draux, A.; Tulyakov, D. N. 2 2018 Four-term recurrence relations for \(\gamma\)-forms. Zbl 1317.33008 Aptekarev, A. I.; Tulyakov, D. N. 2 2011 Analytic properties of two-dimensional continued P-fraction expansions with periodical coefficients and their simultaneous Padé-Hermite approximants. Zbl 0647.41020 Aptekarev, A. I.; Kalyagin, V. A. 2 1987 A scalar Riemann boundary value problem approach to orthogonal polynomials on the circle. Zbl 1130.42025 Aptekarev, A.; Cachafeiro, A.; Marcellán, F. 2 2006 Convergence of vector Stieltjes continued fractions. Zbl 1043.40005 Aptekarev, A. I.; Kastro Smirnova, M. 2 2000 Padé approximations for the system \(\{_ 1F_ 1(1,c;\lambda_ i z)\}\) \((i=1,\dots ,k)\). Zbl 0506.41015 Aptekarev, A. I. 2 1981 Andrei Aleksandrovich Gonchar (on his 80th birthday). Zbl 1236.01017 Aptekarev, A. I.; Lagomasino, G. L.; Saff, E. B.; Stahl, H.; Totik, V. 2 2011 Jacobi matrices on trees generated by Angelesco systems: asymptotics of coefficients and essential spectrum. Zbl 1501.47050 Aptekarev, Alexander I.; Denisov, Sergey A.; Yattselev, Maxim L. 2 2021 Discrete Schrödinger operator on a tree, Angelesco potentials, and their perturbations. Zbl 1458.39015 Aptekarev, A. I.; Denisov, S. A.; Yattselev, M. L. 2 2020 Asymptotic regimes in saturation zones for the C-D-kernels for an ensemble of Meixner orthogonal polynomials. Zbl 1218.30100 Aptekarev, A. I.; Tulyakov, D. N. 2 2011 A variational representation of solutions to a certain hyperbolic system of equations by using a logarithmic potential in the external field. Zbl 1152.35072 Aptekarev, A. I.; Rykov, Yu. G. 2 2006 The saturation regime of Meixner polynomials and the discrete Bessel kernel. Zbl 1325.33006 Aptekarev, A. I.; Tulyakov, D. N. 1 2015 Hesse parametrization of a spectral curve. Zbl 1409.30036 Aptekarev, A. I.; Tulyakov, D. N. 1 2018 Asymptotic behaviour of the information entropy of hydrogen-like quantum systems. Zbl 1425.81025 Aptekarev, Aleksandr I.; Belega, Elena D. 1 2018 Preface to: Rational approximants for the Euler constant. Zbl 1370.11001 Aptekarev, A. I. 1 2011 In memoriam: Herbert Stahl (August 3, 1942–April 22, 2013). Zbl 1288.01029 Aptekarev, Alexander; Nevai, Paul; Totik, Vilmos 1 2014 Asymptotics of Hadamard determinants and the convergence of rows of Padé approximants for sums of exponentials. Zbl 0478.30006 Aptekarev, A. I. 1 1982 Rydberg multidimensional states: Rényi and Shannon entropies in momentum space. Zbl 1519.81053 Aptekarev, A. I.; Belega, E. D.; Dehesa, J. S. 1 2021 Recurrence relations and asymptotics of colored Jones polynomials. Zbl 1494.57014 Aptekarev, A. I.; Dudnikova, T. V.; Tulyakov, D. N. 1 2021 About the works of K. I. Babenko in the field of mechanics and applied mathematics (on the 100th anniversary of his birth). Zbl 1462.01036 Aptekarev, A. I.; Afendikova, N. G. 1 2020 Plancherel-Rotach type asymptotic formulae for multiple orthogonal Hermite polynomials and recurrence relations. Zbl 1510.33008 Aptekarev, Alexander I.; Dobrokhotov, Sergey Yu.; Tulyakov, Dmitrii N.; Tsvetkova, Anna V. 1 2022 Plancherel-Rotach type asymptotic formulae for multiple orthogonal Hermite polynomials and recurrence relations. Zbl 1510.33008 Aptekarev, Alexander I.; Dobrokhotov, Sergey Yu.; Tulyakov, Dmitrii N.; Tsvetkova, Anna V. 1 2022 Emergence of a hierarchy of singularities in zero-pressure media. Two-dimensional case. Zbl 1504.35280 Aptekarev, A. I.; Rykov, Yu. G. 1 2022 Multilevel interpolation for Nikishin systems and boundedness of Jacobi matrices on binary trees. Zbl 07505216 Aptekarev, Alexander I.; Lysov, Vladimir G. 3 2021 Jacobi matrices on trees generated by Angelesco systems: asymptotics of coefficients and essential spectrum. Zbl 1501.47050 Aptekarev, Alexander I.; Denisov, Sergey A.; Yattselev, Maxim L. 2 2021 Rydberg multidimensional states: Rényi and Shannon entropies in momentum space. Zbl 1519.81053 Aptekarev, A. I.; Belega, E. D.; Dehesa, J. S. 1 2021 Recurrence relations and asymptotics of colored Jones polynomials. Zbl 1494.57014 Aptekarev, A. I.; Dudnikova, T. V.; Tulyakov, D. N. 1 2021 Self-adjoint Jacobi matrices on trees and multiple orthogonal polynomials. Zbl 1433.42027 Aptekarev, Alexander I.; Denisov, Sergey A.; Yattselev, Maxim L. 11 2020 Differential equations for the recurrence coefficients limits for multiple orthogonal polynomials from a Nevai class. Zbl 1440.42115 Aptekarev, Alexander I.; Kozhan, Rostyslav 3 2020 Discrete Schrödinger operator on a tree, Angelesco potentials, and their perturbations. Zbl 1458.39015 Aptekarev, A. I.; Denisov, S. A.; Yattselev, M. L. 2 2020 About the works of K. I. Babenko in the field of mechanics and applied mathematics (on the 100th anniversary of his birth). Zbl 1462.01036 Aptekarev, A. I.; Afendikova, N. G. 1 2020 Variational principle for multidimensional conservation laws and pressureless media. Zbl 1439.35316 Aptekarev, Aleksandr I.; Rykov, Yuriĭ G. 8 2019 Detailed description of the evolution mechanism for singularities in the system of pressureless gas dynamics. Zbl 1461.76376 Aptekarev, A. I.; Rykov, Yu. G. 5 2019 Direct and inverse problems for vector logarithmic potentials with external fields. Zbl 1428.41016 Aptekarev, A. I.; Lapik, M. A.; Lysov, V. G. 3 2019 On asymptotics of the sharp constants of the Markov-Bernshtein inequalities for the Sobolev spaces. Zbl 1400.41022 Aptekarev, A. I.; Draux, A.; Tulyakov, D. N. 2 2018 Hesse parametrization of a spectral curve. Zbl 1409.30036 Aptekarev, A. I.; Tulyakov, D. N. 1 2018 Asymptotic behaviour of the information entropy of hydrogen-like quantum systems. Zbl 1425.81025 Aptekarev, Aleksandr I.; Belega, Elena D. 1 2018 Hermite-Padé approximants for a pair of Cauchy transforms with overlapping symmetric supports. Zbl 1362.41001 Aptekarev, Alexander I.; van Assche, Walter; Yattselev, Maxim L. 11 2017 Convergence of ray sequences of Frobenius-Padé approximants. Zbl 1373.41009 Aptekarev, Alexander I.; Bogolyubskii, Aleksei I.; Yattselev, Maxim L. 10 2017 On Nikishin systems with discrete components and weak asymptotics of multiple orthogonal polynomials. Zbl 1379.42011 Aptekarev, A. I.; López Lagomasino, G.; Martínez-Finkelshtein, A. 8 2017 Discrete integrable systems generated by Hermite-Padé approximants. Zbl 1341.42043 Aptekarev, Alexander I.; Derevyagin, Maxim; van Assche, Walter 13 2016 Multidimensional Toda lattices: continuous and discrete time. Zbl 1341.42042 Aptekarev, Alexander I.; Derevyagin, Maxim; Miki, Hiroshi; Van Assche, Walter 13 2016 On a problem by Steklov. Zbl 1348.42024 Aptekarev, A.; Denisov, S.; Tulyakov, D. 10 2016 Measures for orthogonal polynomials with unbounded recurrence coefficients. Zbl 1343.42037 Aptekarev, A. I.; Geronimo, J. S. 10 2016 The Mhaskar-Saff variational principle and location of the shocks’ of certain hyperbolic equations. Zbl 1350.41012 Aptekarev, A. I. 8 2016 Nuttall’s abelian integral on the Riemann surface of the cube root of a polynomial of degree 3. Zbl 1361.30068 Aptekarev, Alexander I.; Tulyakov, Dmitrii N. 4 2016 Padé approximants for functions with branch points – strong asymptotics of Nuttall-Stahl polynomials. Zbl 1339.41020 Aptekarev, Alexander I.; Yattselev, Maxim L. 23 2015 On 2D discrete Schrödinger operators associated with multiple orthogonal polynomials. Zbl 1393.39012 Aptekarev, A. I.; Derevyagin, M.; van Assche, W. 7 2015 Hyperelliptic uniformization of algebraic curves of the third order. Zbl 1312.33022 Aptekarev, A. I.; Toulyakov, D. N.; Van Assche, W. 7 2015 Asymptotics of sharp constants of Markov-Bernstein inequalities in integral norm with Jacobi weight. Zbl 1332.41011 Aptekarev, A. I.; Draux, A.; Kalyagin, V. A.; Tulyakov, D. N. 6 2015 Asymptotics of \(L_p\)-norms of Laguerre polynomials. Zbl 1346.42030 Aptekarev, A. I.; Tulyakov, D. N. 5 2015 V. A. Steklov’s problem of estimating the growth of orthogonal polynomials. Zbl 1342.33016 Aptekarev, A. I.; Denisov, S. A.; Tulyakov, D. N. 3 2015 On the parametrization of a certain algebraic curve of genus 2. Zbl 1338.30031 Aptekarev, A. I.; Toulyakov, D. N.; Yattselev, M. L. 3 2015 The saturation regime of Meixner polynomials and the discrete Bessel kernel. Zbl 1325.33006 Aptekarev, A. I.; Tulyakov, D. N. 1 2015 The leading term of the Plancherel-Rotach asymptotic formula for solutions of recurrence relations. Zbl 1317.39001 Aptekarev, A. I.; Tulyakov, D. N. 7 2014 Spectral problems of high-order recurrences. Zbl 1335.47020 Aptekarev, A. I. 4 2014 Asymptotics for multiple Meixner polynomials. Zbl 1331.33028 Aptekarev, A.; Arvesú, J. 2 2014 In memoriam: Herbert Stahl (August 3, 1942–April 22, 2013). Zbl 1288.01029 Aptekarev, Alexander; Nevai, Paul; Totik, Vilmos 1 2014 Asymptotics of \(L_p\)-norms of Hermite polynomials and Rényi entropy of Rydberg oscillator states. Zbl 1318.94027 Aptekarev, A. I.; Dehesa, J. S.; Sánchez-Moreno, P.; Tulyakov, D. N. 9 2012 Asymptotics of Meixner polynomials and Christoffel-Darboux kernels. Zbl 1271.33003 Aptekarev, A. I.; Tulyakov, D. N. 6 2012 Rényi entropy of the infinite well potential in momentum space and Dirichlet-like trigonometric functionals. Zbl 1282.44004 Aptekarev, A. I.; Dehesa, J. S.; Sánchez-Moreno, P.; Tulyakov, D. N. 5 2012 Hermite-Padé approximations and multiple orthogonal polynomial ensembles. Zbl 1243.41004 Aptekarev, A. I.; Kuijlaars, A. B. J. 29 2011 Padé approximants, continued fractions, and orthogonal polynomials. Zbl 1242.41014 Aptekarev, A. I.; Buslaev, V. I.; Martínez-Finkelshtein, A.; Suetin, S. P. 26 2011 Random matrices with external source and the asymptotic behaviour of multiple orthogonal polynomials. Zbl 1216.60008 Aptekarev, A. I.; Lysov, V. G.; Tulyakov, D. N. 25 2011 Asymptotic \(\gamma\)-forms generated by multiple orthogonal polynomials. Zbl 1317.33004 Aptekarev, A. I.; Lysov, V. G. 4 2011 Four-term recurrence relations for \(\gamma\)-forms. Zbl 1317.33008 Aptekarev, A. I.; Tulyakov, D. N. 2 2011 Andrei Aleksandrovich Gonchar (on his 80th birthday). Zbl 1236.01017 Aptekarev, A. I.; Lagomasino, G. L.; Saff, E. B.; Stahl, H.; Totik, V. 2 2011 Asymptotic regimes in saturation zones for the C-D-kernels for an ensemble of Meixner orthogonal polynomials. Zbl 1218.30100 Aptekarev, A. I.; Tulyakov, D. N. 2 2011 Preface to: Rational approximants for the Euler constant. Zbl 1370.11001 Aptekarev, A. I. 1 2011 Systems of Markov functions generated by graphs and the asymptotics of their Hermite-Padé approximants. Zbl 1188.42009 Aptekarev, A. I.; Lysov, V. G. 32 2010 Asymptotics of orthogonal polynomial’s entropy. Zbl 1183.94013 Aptekarev, A. I.; Dehesa, J. S.; Martinez-Finkelshtein, A. 17 2010 Quantum expectation values of \(D\)-dimensional Rydberg hydrogenic states by use of Laguerre and Gegenbauer asymptotics. Zbl 1188.81183 Aptekarev, A. I.; Dehesa, J. S.; Martínez-Finkelshtein, A.; Yáñez, R. J. 9 2010 Higher-order three-term recurrences and asymptotics of multiple orthogonal polynomials. Zbl 1189.41007 Aptekarev, A. I.; Kalyagin, V. A.; Saff, E. B. 30 2009 Equilibrium of vector potentials and uniformization of the algebraic curves of genus \(0\). Zbl 1183.33012 Aptekarev, A. I.; Kalyagin, V. A.; Lysov, V. G.; Toulyakov, D. N. 11 2009 Global eigenvalue distribution regime of random matrices with an anharmonic potential and an external source. Zbl 1180.82071 Aptekarev, A. I.; Lysov, V. G.; Tulyakov, D. N. 8 2009 Discrete entropies of orthogonal polynomials. Zbl 1177.33018 Aptekarev, A. I.; Dehesa, J. S.; Martínez-Finkelshtein, A.; Yáñez, R. 6 2009 On the determinant of an integral lattice generated by rational approximants of the Euler constant. Zbl 1211.11082 Aptekarev, A. I.; Tulyakov, D. N. 1 2009 Asymptotics of Hermite-Padé rational approximants for two analytic functions with separated pairs of branch points (case of genus 0). Zbl 1156.41004 Aptekarev, Alexander I.; Kuijlaars, Arno B. J.; Van Assche, Walter 22 2008 Asymptotics of Hermite-Padé approximants for two functions with branch points. Zbl 1181.30022 Aptekarev, A. I. 16 2008 Varying weights for orthogonal polynomials with monotonically varying recurrence coefficients. Zbl 1143.42027 Aptekarev, A. I.; Geronimo, J. S.; Van Assche, W. 5 2008 Rational approximations of Euler’s constant and recurrence relations. Collection of articles. (Рациональные приближения постояннои Еилера и рекуррентные соотношения. Сборник статеи.) Zbl 1134.41001 7 2007 Asymptotic expansions for polynomials orthogonal with respect to a complex non-constant weight function. Zbl 1211.42025 Aptekarev, A.; Khabibullin, R. 3 2007 On the limit behavior of recurrence coefficients for multiple orthogonal polynomials. Zbl 1140.42011 Aptekarev, A. I.; Kalyagin, V.; López Lagomasino, G.; Rocha, I. A. 25 2006 On the variational representation of solutions to some quasilinear equations and systems of hyperbolic type on the basis of potential theory. Zbl 1223.35224 Aptekarev, A. I.; Rykov, Yu. G. 8 2006 A scalar Riemann boundary value problem approach to orthogonal polynomials on the circle. Zbl 1130.42025 Aptekarev, A.; Cachafeiro, A.; Marcellán, F. 2 2006 A variational representation of solutions to a certain hyperbolic system of equations by using a logarithmic potential in the external field. Zbl 1152.35072 Aptekarev, A. I.; Rykov, Yu. G. 2 2006 Large \(n\) limit of Gaussian random matrices with external source. II. Zbl 1129.82014 Aptekarev, Alexander I.; Bleher, Pavel M.; Kuijlaars, Arno B. J. 80 2005 Ratio asymptotics of Hermite-Padé polynomials for Nikishin systems. Zbl 1077.42015 Aptekarev, A. I.; López, G. L.; Rocha, I. A. 25 2005 Scalar and matrix Riemann-Hilbert approach to the strong asymptotics of Padé approximants and complex orthogonal polynomials with varying weight. Zbl 1061.30035 Aptekarev, A. I.; Van Assche, W. 25 2004 Multiple orthogonal polynomials for classical weights. Zbl 1033.33002 Aptekarev, A. I.; Branquinho, A.; Van Assche, W. 90 2003 Padé approximants and complex high order Toda lattices. Zbl 1031.42026 Aptekarev, A. I.; Branquinho, A. 8 2003 Sharp constants for rational approximations of analytic functions. Zbl 1041.30014 Aptekarev, A. I. 29 2002 Orthogonal polynomials with respect to a differential operator. Existence and uniqueness. Zbl 1029.42018 Aptekarev, A. I.; López Lagomasino, G. T.; Marcellán, F. 5 2002 Discrete spectra of certain co-recursive Pollaczek polynomials and its applications. Zbl 1061.33005 Aptekarev, Alexandre I.; Draux, André; Toulyakov, Dmitrii 4 2002 Asymptotics of discrete orthogonal polynomials and the continuum limit of the Toda lattice. Zbl 1018.37042 Aptekarev, A. I.; Van Assche, W. 11 2001 The genetic sums’ representation for the moments of a system of Stieltjes functions and its application. Zbl 0966.41009 Aptekarev, A.; Kaliaguine, V.; Van Iseghem, J. 45 2000 On the asymptotics of sharp constants in Markov-Bernstein inequalities in integral metrics with classical weight. Zbl 0957.41008 Aptekarev, A. I.; Draux, A.; Kalyagin, V. A. 4 2000 Convergence of vector Stieltjes continued fractions. Zbl 1043.40005 Aptekarev, A. I.; Kastro Smirnova, M. 2 2000 Strong asymptotics of multiple orthogonal polynomials for Nikishin systems. Zbl 0957.42015 Aptekarev, A. I. 26 1999 Strong asymptotics for the continuous Sobolev orthogonal polynomials on the unit circle. Zbl 0934.42017 Aptekarev, A.; Berriochoa, E.; Cachafeiro, A. 8 1999 Multiple orthogonal polynomials. Zbl 0958.42015 Aptekarev, A. I. 103 1998 Strong asymptotics of Laguerre polynomials and information entropies of two-dimensional harmonic oscillator and one-dimensional Coulomb potentials. Zbl 1044.81563 Dehesa, J. S.; Yáñez, R. J.; Aptekarev, A. I.; Buyarov, V. 22 1998 Complex rational approximation and difference operators. Zbl 0917.47028 Aptekarev, A.; Kaliaguine, V. 13 1998 Semiclassical multiple orthogonal polynomials and the properties of Jacobi-Bessel polynomials. Zbl 0878.33004 Aptekarev, A. I.; Marcellán, F.; Rocha, I. A. 27 1997 Toda-type differential equations for the recurrence coefficients of orthogonal polynomials and Freud transformation. Zbl 0886.33007 Aptekarev, A. I.; Branquinho, A.; Marcellán, F. 26 1997 Asymptotics of entropy integrals for orthogonal polynomials. Zbl 0892.33005 Aptekarev, A. I.; Buyarov, V. S.; Van Assche, W.; Dehesa, J. S. 9 1996 Criterion for the resolvent set of nonsymmetric tridiagonal operators. Zbl 0824.47017 Aptekarev, A. I.; Kaliaguine, V.; Van Assche, Walter 22 1995 Spatial entropy of central potentials and strong asymptotics of orthogonal polynomials. Zbl 0816.94010 Aptekarev, A. I.; Dehesa, J. S.; Yáñez, R. J. 26 1994 Asymptotic behavior of the \(L^ p\)-norms and the entropy for general orthogonal polynomials. Zbl 0862.46014 Aptekarev, A. I.; Buyarov, V. S.; Degeza, I. S. 19 1994 Asymptotics of Hermite-Padé polynomials. Zbl 0806.41001 Aptekarev, A. I.; Stahl, H. 22 1992 Asymptotics of orthogonal polynomials in the neighborhood of the endpoints of the interval of orthogonality. Zbl 0782.33005 Aptekarev, A. I. 9 1992 Asymptotic behavior of orthogonal polynomials in the neighborhood of the ends of the orthogonality interval. Zbl 0772.33003 Aptekarev, A. I. 5 1992 Asymptotics of simultaneously orthogonal polynomials in the Angelesco case. Zbl 0744.42008 Aptekarev, A. I. 13 1989 Asymptotics of polynomials of simultaneous orthogonality in Angelesko’s case. Zbl 0681.42015 Aptekarev, A. I. 6 1988 Analytic properties of two-dimensional continued P-fraction expansions with periodical coefficients and their simultaneous Padé-Hermite approximants. Zbl 0647.41020 Aptekarev, A. I.; Kalyagin, V. A. 2 1987 Asymptotic properties of polynomials orthogonal on a system of contours, and periodic motions of Toda lattices. Zbl 0608.42016 Aptekarev, A. I. 39 1986 The scattering problem for a discrete Sturm-Liouville operator. Zbl 0557.34017 Aptekarev, A. I.; Nikishin, E. M. 40 1984 Scattering problem for the discrete Sturm-Liouville operator. Zbl 0527.34024 Aptekarev, A. I.; Nikishin, E. M. 36 1983 Asymptotics of Hadamard determinants and the convergence of rows of Padé approximants for sums of exponentials. Zbl 0478.30006 Aptekarev, A. I. 1 1982 On the Padé approximations to the set \(\{_ 1F_ 1(1,c;\lambda_ iz)\}^ k_{i=1}\). Zbl 0459.41010 Aptekarev, A. I. 5 1981 On the convergence of rational approximations to a set of exponential curves. Zbl 0453.41016 Aptekarev, A. I. 3 1981 ...and 2 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 557 Authors 57 Aptekarev, Alexander Ivanovich 39 Van Assche, Walter 33 Kuijlaars, Arno B. J. 31 Dehesa, Jesús S. 25 Branquinho, Amílcar José Pinto Lopes 25 Martínez-Finkelshtein, Andrei 22 López Lagomasino, Guillermo Tomás 22 Tulyakov, Dmitrii N. 21 Marcellán Español, Francisco 20 Suetin, Sergeĭ Pavlovich 20 Yattselev, Maxim L. 18 Foulquié Moreno, Ana Pilar 13 Denisov, Sergey A. 13 Starovoĭtov, Aleksandr Pavlovich 12 Mañas, Manuel 11 Lubinsky, Doron S. 10 Durán, Antonio José 10 Lysov, Vladimir G. 9 Delvaux, Steven 9 Yáñez, Rafael J. 8 Beckermann, Bernhard 8 Bleher, Pavel M. 8 Peherstorfer, Franz 8 Silva, Guilherme L. F. 7 Ben Cheikh, Youssèf 7 Derevyagin, Maxim S. 7 Draux, André 7 Duits, Maurice 7 Garza, Luis E. 7 Geronimo, Jeffrey S. 7 López García, Abey 7 Rakhmanov, Evgenij Andreevich 7 Toranzo, Irene V. 7 Wielonsky, Franck 7 Zhang, Lun 6 Adler, Mark 6 Barrios Rolanía, D. 6 Bertola, Marco 6 Chang, Xiangke 6 Choque Rivero, Abdon Eddy 6 García-Ardila, Juan Carlos 6 Kalyagin, Valery A. 6 Komlov, Aleksandr V. 6 Kozhan, Rostyslav V. 6 Lamiri, Imed 6 Lapik, M. A. 6 Román, Pablo Manuel 6 Simon, Barry 6 van Moerbeke, Pierre 6 Zhedanov, Alexei S. 5 Baratchart, Laurent 5 Chaggara, Hamza 5 Fuentes, Edinson 5 Rykov, Yurii G. 5 Saff, Edward Barry 5 Sorokin, Vladimir N. 5 Stahl, Herbert Robert 5 Stanić, Marija P. 4 Ben Romdhane, Neila 4 Borodin, Alexei 4 Cachafeiro, Alicia 4 Coussement, Jonathan 4 Dette, Holger 4 Dominici, Diego Ernesto 4 Driver, Kathy A. 4 Eichinger, Benjamin 4 Fidalgo, Ulises 4 Filipuk, Galina V. 4 Hardy, Adrien 4 Hessami Pilehrood, Khodabakhsh 4 Hessami Pilehrood, Tatiana 4 Kechko, Elena Petrovna 4 Kuan, Jeffrey 4 Mañas-Mañas, Juan F. 4 Ouni, Abdelwaheb 4 Pijeira-Cabrera, Héctor 4 Rivoal, Tanguy 4 Sri Ranga, Alagacone 4 Świderski, Grzegorz 4 Wang, Dong 4 Yafaev, Dimitri R. 4 Yakhlef, Hossain O. 4 Yuditskii, Peter Meerovich 3 Ariznabarreta, Gerardo 3 Arvesú, Jorge 3 Belega, Elena D. 3 Berriochoa, Elías 3 Bogolyubskiĭ, Alekseĭ Igor’evich 3 Buslaev, Viktor Ivanovich 3 Chen, Xiaomin 3 Christiansen, Jacob Stordal 3 Claeys, Tom 3 Coussement, Els 3 Daems, Evi 3 Deaño, Alfredo 3 Dobrokhotov, Sergei Yurievich 3 Doliwa, Adam 3 Dueñas, Herbert 3 Flores-Gallegos, Nelson 3 Khorozov, Emil Ivanov ...and 457 more Authors all top 5 Cited in 145 Serials 87 Journal of Approximation Theory 55 Journal of Computational and Applied Mathematics 27 Mathematical Notes 26 Constructive Approximation 23 Proceedings of the Steklov Institute of Mathematics 20 Communications in Mathematical Physics 19 Journal of Mathematical Analysis and Applications 17 Journal of Mathematical Physics 17 Integral Transforms and Special Functions 16 Advances in Mathematics 14 Proceedings of the American Mathematical Society 13 Applied Mathematics and Computation 13 Linear Algebra and its Applications 12 Sbornik: Mathematics 11 Journal d’Analyse Mathématique 11 Russian Mathematical Surveys 10 Lobachevskii Journal of Mathematics 9 Journal of Mathematical Chemistry 8 Communications on Pure and Applied Mathematics 8 Physica D 8 Journal of Difference Equations and Applications 8 Computational Methods and Function Theory 8 Journal of Physics A: Mathematical and Theoretical 8 Random Matrices: Theory and Applications 8 Bulletin of Mathematical Sciences 7 Journal of Statistical Physics 7 Transactions of the American Mathematical Society 7 Numerical Algorithms 7 Russian Journal of Mathematical Physics 6 Studies in Applied Mathematics 6 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 5 Journal of Functional Analysis 5 Transactions of the Moscow Mathematical Society 5 Indagationes Mathematicae. New Series 5 Russian Mathematics 5 Journal of Mathematical Sciences (New York) 5 Doklady Mathematics 4 Applied Numerical Mathematics 4 Mediterranean Journal of Mathematics 4 Complex Analysis and Operator Theory 4 Journal of Spectral Theory 3 Rocky Mountain Journal of Mathematics 3 Theoretical and Mathematical Physics 3 The Annals of Probability 3 Journal of Elasticity 3 Georgian Mathematical Journal 3 Journal of Inequalities and Applications 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 Analysis and Mathematical Physics 2 Computer Methods in Applied Mechanics and Engineering 2 Linear and Multilinear Algebra 2 Mathematical Methods in the Applied Sciences 2 Mathematics of Computation 2 Acta Mathematica 2 Functional Analysis and its Applications 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Differential Equations 2 Journal of Number Theory 2 Memoirs of the American Mathematical Society 2 Results in Mathematics 2 Journal of Theoretical Probability 2 Computational Mathematics and Mathematical Physics 2 Communications in Partial Differential Equations 2 Potential Analysis 2 The Ramanujan Journal 2 Foundations of Computational Mathematics 2 Analysis and Applications (Singapore) 2 Journal of Statistical Mechanics: Theory and Experiment 2 Operators and Matrices 2 Problemy Fiziki, Matematiki i Tekhniki 2 Annalen der Physik 2 Journal of Classical Analysis 2 Concrete Operators 2 Special Matrices 1 Analysis Mathematica 1 Computers & Mathematics with Applications 1 Journal of Computational Physics 1 Journal of the Mechanics and Physics of Solids 1 Letters in Mathematical Physics 1 Physica A 1 Problems of Information Transmission 1 Ukrainian Mathematical Journal 1 Arkiv för Matematik 1 Reviews in Mathematical Physics 1 Annales de l’Institut Fourier 1 BIT 1 Canadian Mathematical Bulletin 1 Collectanea Mathematica 1 Integral Equations and Operator Theory 1 Journal of the London Mathematical Society. Second Series 1 Journal of Multivariate Analysis 1 Journal of Soviet Mathematics 1 Mathematische Nachrichten 1 Mathematica Slovaca 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 Programming and Computer Software 1 Quarterly of Applied Mathematics ...and 45 more Serials all top 5 Cited in 52 Fields 300 Special functions (33-XX) 275 Harmonic analysis on Euclidean spaces (42-XX) 155 Approximations and expansions (41-XX) 140 Functions of a complex variable (30-XX) 82 Linear and multilinear algebra; matrix theory (15-XX) 80 Probability theory and stochastic processes (60-XX) 68 Operator theory (47-XX) 47 Dynamical systems and ergodic theory (37-XX) 47 Statistical mechanics, structure of matter (82-XX) 43 Partial differential equations (35-XX) 43 Quantum theory (81-XX) 42 Ordinary differential equations (34-XX) 40 Difference and functional equations (39-XX) 39 Information and communication theory, circuits (94-XX) 37 Numerical analysis (65-XX) 34 Potential theory (31-XX) 22 Number theory (11-XX) 17 Real functions (26-XX) 13 Fluid mechanics (76-XX) 12 Integral transforms, operational calculus (44-XX) 11 Statistics (62-XX) 9 Sequences, series, summability (40-XX) 9 Mechanics of deformable solids (74-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Algebraic geometry (14-XX) 6 Functional analysis (46-XX) 5 Combinatorics (05-XX) 4 History and biography (01-XX) 4 Biology and other natural sciences (92-XX) 3 Topological groups, Lie groups (22-XX) 3 Measure and integration (28-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Integral equations (45-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Mechanics of particles and systems (70-XX) 2 Convex and discrete geometry (52-XX) 2 Manifolds and cell complexes (57-XX) 2 Computer science (68-XX) 2 Relativity and gravitational theory (83-XX) 2 Astronomy and astrophysics (85-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Geometry (51-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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