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Aptekarev, Alexander Ivanovich

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Author ID: aptekarev.alexander-i Recent zbMATH articles by "Aptekarev, Alexander Ivanovich"
Published as: Aptekarev, A. I.; Aptekarev, Alexander I.; Aptekarev, A.; Aptekarev, Aleksandr I.; Aptekarev, Alexander; Aptekarev, Alexandre I.
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Documents Indexed: 128 Publications since 1980
1 Contribution as Editor
Biographic References: 1 Publication
Co-Authors: 146 Co-Authors with 107 Joint Publications
3,845 Co-Co-Authors
all top 5

Co-Authors

21 single-authored
19 Tulyakov, Dmitrii N.
12 Van Assche, Walter
8 Dehesa, Jesús S.
7 Kalyagin, Valery A.
7 Lysov, Vladimir G.
7 Yattselev, Maxim L.
6 Denisov, Sergey A.
6 Martínez-Finkelshtein, Andrei
5 Afendikov, Andrei L.
5 Chetverushkin, Boris Nikolaevich
5 López Lagomasino, Guillermo Tomás
4 Buyarov, V. S.
4 Draux, André
4 Kaliaguine, Valeri A.
4 Kozlov, Valeriĭ Vasil’evich
4 Marcellán Español, Francisco
4 Rykov, Yurii G.
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 Sergeev, Armen Glebovich
3 Suetin, Sergeĭ Pavlovich
3 Toulyakov, D. N.
3 Volevich, Leonid Romanovich
3 Vvedenskaya, Nikita Dmitrievna
2 Agranovich, Mikhail Semënovich
2 Berriochoa, Elías
2 Bogolyubskiĭ, Alekseĭ Igor’evich
2 Bukhshtaber, Viktor Matveevich
2 Buslaev, Viktor Ivanovich
2 Dubinin, Vladimir N.
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
2 Paramonov, Peter V.
2 Potapov, Mikhaĭl Konstantinovich
2 Rocha, Ignacio A.
2 Saff, Edward Barry
2 Sánchez-Moreno, Pablo
2 Shidlovskij, A. B.
2 Sinaĭ, Yakov Grigor’evich
2 Stahl, Herbert Robert
2 Tikhomirov, Vladimir Mikhaĭlovich
2 Totik, Vilmos
2 Ul’yanov, Pëtr Lavrent’evich
1 Afendikova, N. G.
1 Aksent’ev, Leonid Aleksandrovich
1 Alexis, Michel
1 Arvesú, Jorge
1 Ataullakhanov, Fazoil I.
1 Balabaev, N. K.
1 Batkhin, Alexandr B.
1 Belega, Elena D.
1 Beloshapka, Valeriĭ K.
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 Castro, Mirta M.
1 Chirka, Evgeni M.
1 Dagkesamanskii, R. D.
1 Degeza, I. S.
1 Demin, Mikhail M.
1 Dobrokhotov, Sergei Yurievich
1 Dudnikova, Tat’yana V.
1 Elizarov, A. M.
1 Faddeev, Lyudvig Dmitrievich
1 Fedorovskiĭ, K. Yu.
1 Fuchs, Dmitry Borisovich
1 Galanin, M. P.
1 Gindikin, Simon Grigorevich
1 Godunov, Sergeĭ Konstantinovich
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 Lvovich
1 Kozhan, Rostyslav V.
1 Krichever, Igor’ Moiseevich
1 Lakhno, Victor D.
1 Lando, Sergei K.
1 Laptev, Ari
...and 48 more Co-Authors
all top 5

Serials

20 Russian Mathematical Surveys
9 Journal of Approximation Theory
7 Sbornik: Mathematics
6 Journal of Computational and Applied Mathematics
6 Doklady Mathematics
5 Proceedings of the Steklov Institute of Mathematics
4 Mathematical Notes
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
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 Izvestiya: Mathematics
2 Lobachevskii Journal of Mathematics
2 Journal of Physics A: Mathematical and Theoretical
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

Publications by Year

Citations contained in zbMATH Open

93 Publications have been cited 1,139 times in 628 Documents Cited by Year
Multiple orthogonal polynomials. Zbl 0958.42015
Aptekarev, A. I.
92
1998
Multiple orthogonal polynomials for classical weights. Zbl 1033.33002
Aptekarev, A. I.; Branquinho, A.; Van Assche, W.
79
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.
72
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.
39
2000
The scattering problem for a discrete Sturm-Liouville operator. Zbl 0557.34017
Aptekarev, A. I.; Nikishin, E. M.
38
1984
Asymptotic properties of polynomials orthogonal on a system of contours, and periodic motions of Toda lattices. Zbl 0608.42016
Aptekarev, A. I.
34
1986
Scattering problem for the discrete Sturm-Liouville operator. Zbl 0527.34024
Aptekarev, A. I.; Nikishin, E. M.
32
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.
27
2010
Higher-order three-term recurrences and asymptotics of multiple orthogonal polynomials. Zbl 1189.41007
Aptekarev, A. I.; Kalyagin, V. A.; Saff, E. B.
26
2009
Sharp constants for rational approximations of analytic functions. Zbl 1041.30014
Aptekarev, A. I.
25
2002
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
Semiclassical multiple orthogonal polynomials and the properties of Jacobi-Bessel polynomials. Zbl 0878.33004
Aptekarev, A. I.; Marcellán, F.; Rocha, I. A.
23
1997
Hermite-Padé approximations and multiple orthogonal polynomial ensembles. Zbl 1243.41004
Aptekarev, A. I.; Kuijlaars, A. B. J.
23
2011
Ratio asymptotics of Hermite-Padé polynomials for Nikishin systems. Zbl 1077.42015
Aptekarev, A. I.; López, G. L.; Rochac, I. A.
22
2005
Asymptotics of Hermite-Padé polynomials. Zbl 0806.41001
Aptekarev, A. I.; Stahl, H.
21
1992
Padé approximants for functions with branch points – strong asymptotics of Nuttall-Stahl polynomials. Zbl 1339.41020
Aptekarev, Alexander I.; Yattselev, Maxim L.
21
2015
Strong asymptotics of multiple orthogonal polynomials for Nikishin systems. Zbl 0957.42015
Aptekarev, A. I.
21
1999
Criterion for the resolvent set of nonsymmetric tridiagonal operators. Zbl 0824.47017
Aptekarev, A. I.; Kaliaguine, V.; Van Assche, Walter
21
1995
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.
21
2006
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
21
2008
Spatial entropy of central potentials and strong asymptotics of orthogonal polynomials. Zbl 0816.94010
Aptekarev, A. I.; Dehesa, J. S.; Yáñez, R. J.
20
1994
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.
20
2011
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.
20
1998
Padé approximants, continued fractions, and orthogonal polynomials. Zbl 1242.41014
Aptekarev, A. I.; Buslaev, V. I.; Martínez-Finkelshtein, A.; Suetin, S. P.
19
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.
18
1997
Asymptotics of orthogonal polynomial’s entropy. Zbl 1183.94013
Aptekarev, A. I.; Dehesa, J. S.; Martinez-Finkelshtein, A.
14
2010
Asymptotics of Hermite-Padé approximants for two functions with branch points. Zbl 1181.30022
Aptekarev, A. I.
14
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.
14
1994
Complex rational approximation and difference operators. Zbl 0917.47028
Aptekarev, A.; Kaliaguine, V.
12
1998
Asymptotics of discrete orthogonal polynomials and the continuum limit of the Toda lattice. Zbl 1018.37042
Aptekarev, A. I.; Van Assche, W.
11
2001
Discrete integrable systems generated by Hermite-Padé approximants. Zbl 1341.42043
Aptekarev, Alexander I.; Derevyagin, Maxim; van Assche, Walter
10
2016
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.
10
2009
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.
10
2017
Asymptotics of simultaneously orthogonal polynomials in the Angelesco case. Zbl 0744.42008
Aptekarev, A. I.
9
1989
Convergence of ray sequences of Frobenius-Padé approximants. Zbl 1373.41009
Aptekarev, Alexander I.; Bogolyubskii, Aleksei I.; Yattselev, Maxim L.
9
2017
On a problem by Steklov. Zbl 1348.42024
Aptekarev, A.; Denisov, S.; Tulyakov, D.
8
2016
Measures for orthogonal polynomials with unbounded recurrence coefficients. Zbl 1343.42037
Aptekarev, A. I.; Geronimo, J. S.
8
2016
Strong asymptotics for the continuous Sobolev orthogonal polynomials on the unit circle. Zbl 0934.42017
Aptekarev, A.; Berriochoa, E.; Cachafeiro, A.
8
1999
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
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.
8
2010
Asymptotics of orthogonal polynomials in the neighborhood of the endpoints of the interval of orthogonality. Zbl 0782.33005
Aptekarev, A. I.
8
1992
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
Multidimensional Toda lattices: continuous and discrete time. Zbl 1341.42042
Aptekarev, Alexander I.; Derevyagin, Maxim; Miki, Hiroshi; Van Assche, Walter
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
The Mhaskar-Saff variational principle and location of the shocks’ of certain hyperbolic equations. Zbl 1350.41012
Aptekarev, A. I.
8
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.
8
2012
Padé approximants and complex high order Toda lattices. Zbl 1031.42026
Aptekarev, A. I.; Branquinho, A.
7
2003
Asymptotics of entropy integrals for orthogonal polynomials. Zbl 0892.33005
Aptekarev, A. I.; Buyarov, V. S.; Van Assche, W.; Dehesa, J. S.
7
1996
Self-adjoint Jacobi matrices on trees and multiple orthogonal polynomials. Zbl 1433.42027
Aptekarev, Alexander I.; Denisov, Sergey A.; Yattselev, Maxim L.
7
2020
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 2D discrete Schrödinger operators associated with multiple orthogonal polynomials. Zbl 1393.39012
Aptekarev, A. I.; Derevyagin, M.; van Assche, W.
6
2015
Hyperelliptic uniformization of algebraic curves of the third order. Zbl 1312.33022
Aptekarev, A. I.; Toulyakov, D. N.; Van Assche, W.
6
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
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
On the Padé approximations to the set \(\{_ 1F_ 1(1,c;\lambda_ iz)\}^ k_{i=1}\). Zbl 0459.41010
Aptekarev, A. I.
5
1981
Variational principle for multidimensional conservation laws and pressureless media. Zbl 1439.35316
Aptekarev, Aleksandr I.; Rykov, Yuriĭ G.
5
2019
Varying weights for orthogonal polynomials with monotonically varying recurrence coefficients. Zbl 1143.42027
Aptekarev, A. I.; Geronimo, J. S.; Van Assche, W.
5
2008
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 behavior of orthogonal polynomials in the neighborhood of the ends of the orthogonality interval. Zbl 0772.33003
Aptekarev, A. I.
4
1992
Rational approximations of Euler’s constant and recurrence relations. Collection of articles. (Рациональные приближения постояннои Еилера и рекуррентные соотношения. Сборник статеи.) Zbl 1134.41001
4
2007
Spectral problems of high-order recurrences. Zbl 1335.47020
Aptekarev, A. I.
4
2014
Discrete spectra of certain co-recursive Pollaczek polynomials and its applications. Zbl 1061.33005
Aptekarev, Alexandre I.; Draux, André; Touilyakov, Dmitrii
4
2002
Asymptotics of Meixner polynomials and Christoffel-Darboux kernels. Zbl 1271.33003
Aptekarev, A. I.; Tulyakov, D. N.
4
2012
The leading term of the Plancherel-Rotach asymptotic formula for solutions of recurrence relations. Zbl 1317.39001
Aptekarev, A. I.; Tulyakov, D. N.
4
2014
Asymptotic \(\gamma\)-forms generated by multiple orthogonal polynomials. Zbl 1317.33004
Aptekarev, A. I.; Lysov, V. G.
4
2011
Asymptotics of \(L_p\)-norms of Laguerre polynomials. Zbl 1346.42030
Aptekarev, A. I.; Tulyakov, D. N.
3
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 convergence of rational approximations to a set of exponential curves. Zbl 0453.41016
Aptekarev, A. I.
3
1981
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
Asymptotic expansions for polynomials orthogonal with respect to a complex non-constant weight function. Zbl 1211.42025
Aptekarev, A.; Khabibullin, R.
3
2007
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
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.
3
2016
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.
3
2012
On the parametrization of a certain algebraic curve of genus 2. Zbl 1338.30031
Aptekarev, A. I.; Toulyakov, D. N.; Yattselev, M. L.
2
2015
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
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
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
Convergence of vector Stieltjes continued fractions. Zbl 1043.40005
Aptekarev, A. I.; Kastro Smirnova, M.
2
2000
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
Detailed description of the evolution mechanism for singularities in the system of pressureless gas dynamics. Zbl 1461.76376
Aptekarev, A. I.; Rykov, Yu. G.
2
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
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
Four-term recurrence relations for \(\gamma\)-forms. Zbl 1317.33008
Aptekarev, A. I.; Tulyakov, D. N.
2
2011
A scalar Riemann boundary value problem approach to orthogonal polynomials on the circle. Zbl 1130.42025
Aptekarev, A.; Cachafeiro, A.; Marcellán, F.
1
2006
Asymptotics of Hadamard determinants and the convergence of rows of Padé approximants for sums of exponentials. Zbl 0478.30006
Aptekarev, A. I.
1
1982
The saturation regime of Meixner polynomials and the discrete Bessel kernel. Zbl 1325.33006
Aptekarev, A. I.; Tulyakov, D. N.
1
2015
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
Hesse parametrization of a spectral curve. Zbl 1409.30036
Aptekarev, A. I.; Tulyakov, D. N.
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
Self-adjoint Jacobi matrices on trees and multiple orthogonal polynomials. Zbl 1433.42027
Aptekarev, Alexander I.; Denisov, Sergey A.; Yattselev, Maxim L.
7
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
Variational principle for multidimensional conservation laws and pressureless media. Zbl 1439.35316
Aptekarev, Aleksandr I.; Rykov, Yuriĭ 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
Detailed description of the evolution mechanism for singularities in the system of pressureless gas dynamics. Zbl 1461.76376
Aptekarev, A. I.; Rykov, Yu. G.
2
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
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.
10
2017
Convergence of ray sequences of Frobenius-Padé approximants. Zbl 1373.41009
Aptekarev, Alexander I.; Bogolyubskii, Aleksei I.; Yattselev, Maxim L.
9
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
10
2016
On a problem by Steklov. Zbl 1348.42024
Aptekarev, A.; Denisov, S.; Tulyakov, D.
8
2016
Measures for orthogonal polynomials with unbounded recurrence coefficients. Zbl 1343.42037
Aptekarev, A. I.; Geronimo, J. S.
8
2016
Multidimensional Toda lattices: continuous and discrete time. Zbl 1341.42042
Aptekarev, Alexander I.; Derevyagin, Maxim; Miki, Hiroshi; Van Assche, Walter
8
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.
3
2016
Padé approximants for functions with branch points – strong asymptotics of Nuttall-Stahl polynomials. Zbl 1339.41020
Aptekarev, Alexander I.; Yattselev, Maxim L.
21
2015
On 2D discrete Schrödinger operators associated with multiple orthogonal polynomials. Zbl 1393.39012
Aptekarev, A. I.; Derevyagin, M.; van Assche, W.
6
2015
Hyperelliptic uniformization of algebraic curves of the third order. Zbl 1312.33022
Aptekarev, A. I.; Toulyakov, D. N.; Van Assche, W.
6
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.
3
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.
2
2015
The saturation regime of Meixner polynomials and the discrete Bessel kernel. Zbl 1325.33006
Aptekarev, A. I.; Tulyakov, D. N.
1
2015
Spectral problems of high-order recurrences. Zbl 1335.47020
Aptekarev, A. I.
4
2014
The leading term of the Plancherel-Rotach asymptotic formula for solutions of recurrence relations. Zbl 1317.39001
Aptekarev, A. I.; Tulyakov, D. N.
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.
8
2012
Asymptotics of Meixner polynomials and Christoffel-Darboux kernels. Zbl 1271.33003
Aptekarev, A. I.; Tulyakov, D. N.
4
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.
3
2012
Hermite-Padé approximations and multiple orthogonal polynomial ensembles. Zbl 1243.41004
Aptekarev, A. I.; Kuijlaars, A. B. J.
23
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.
20
2011
Padé approximants, continued fractions, and orthogonal polynomials. Zbl 1242.41014
Aptekarev, A. I.; Buslaev, V. I.; Martínez-Finkelshtein, A.; Suetin, S. P.
19
2011
Asymptotic \(\gamma\)-forms generated by multiple orthogonal polynomials. Zbl 1317.33004
Aptekarev, A. I.; Lysov, V. G.
4
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
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
Four-term recurrence relations for \(\gamma\)-forms. Zbl 1317.33008
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.
27
2010
Asymptotics of orthogonal polynomial’s entropy. Zbl 1183.94013
Aptekarev, A. I.; Dehesa, J. S.; Martinez-Finkelshtein, A.
14
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.
8
2010
Higher-order three-term recurrences and asymptotics of multiple orthogonal polynomials. Zbl 1189.41007
Aptekarev, A. I.; Kalyagin, V. A.; Saff, E. B.
26
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.
10
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
21
2008
Asymptotics of Hermite-Padé approximants for two functions with branch points. Zbl 1181.30022
Aptekarev, A. I.
14
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
4
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.
21
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 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
A scalar Riemann boundary value problem approach to orthogonal polynomials on the circle. Zbl 1130.42025
Aptekarev, A.; Cachafeiro, A.; Marcellán, F.
1
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.
72
2005
Ratio asymptotics of Hermite-Padé polynomials for Nikishin systems. Zbl 1077.42015
Aptekarev, A. I.; López, G. L.; Rochac, I. A.
22
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.
79
2003
Padé approximants and complex high order Toda lattices. Zbl 1031.42026
Aptekarev, A. I.; Branquinho, A.
7
2003
Sharp constants for rational approximations of analytic functions. Zbl 1041.30014
Aptekarev, A. I.
25
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; Touilyakov, 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.
39
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.
21
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.
92
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.
20
1998
Complex rational approximation and difference operators. Zbl 0917.47028
Aptekarev, A.; Kaliaguine, V.
12
1998
Semiclassical multiple orthogonal polynomials and the properties of Jacobi-Bessel polynomials. Zbl 0878.33004
Aptekarev, A. I.; Marcellán, F.; Rocha, I. A.
23
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.
18
1997
Asymptotics of entropy integrals for orthogonal polynomials. Zbl 0892.33005
Aptekarev, A. I.; Buyarov, V. S.; Van Assche, W.; Dehesa, J. S.
7
1996
Criterion for the resolvent set of nonsymmetric tridiagonal operators. Zbl 0824.47017
Aptekarev, A. I.; Kaliaguine, V.; Van Assche, Walter
21
1995
Spatial entropy of central potentials and strong asymptotics of orthogonal polynomials. Zbl 0816.94010
Aptekarev, A. I.; Dehesa, J. S.; Yáñez, R. J.
20
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.
14
1994
Asymptotics of Hermite-Padé polynomials. Zbl 0806.41001
Aptekarev, A. I.; Stahl, H.
21
1992
Asymptotics of orthogonal polynomials in the neighborhood of the endpoints of the interval of orthogonality. Zbl 0782.33005
Aptekarev, A. I.
8
1992
Asymptotic behavior of orthogonal polynomials in the neighborhood of the ends of the orthogonality interval. Zbl 0772.33003
Aptekarev, A. I.
4
1992
Asymptotics of simultaneously orthogonal polynomials in the Angelesco case. Zbl 0744.42008
Aptekarev, A. I.
9
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.
34
1986
The scattering problem for a discrete Sturm-Liouville operator. Zbl 0557.34017
Aptekarev, A. I.; Nikishin, E. M.
38
1984
Scattering problem for the discrete Sturm-Liouville operator. Zbl 0527.34024
Aptekarev, A. I.; Nikishin, E. M.
32
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
Convergence of rational approximations to a set of exponents. Zbl 0465.41003
Aptekarev, A. I.
2
1981
Padé approximations for the system \(\{_ 1F_ 1(1,c;\lambda_ i z)\}\) \((i=1,\dots ,k)\). Zbl 0506.41015
Aptekarev, A. I.
2
1981
all top 5

Cited by 501 Authors

51 Aptekarev, Alexander Ivanovich
37 Van Assche, Walter
30 Kuijlaars, Arno B. J.
28 Dehesa, Jesús S.
23 Martínez-Finkelshtein, Andrei
21 Marcellán Español, Francisco
20 López Lagomasino, Guillermo Tomás
19 Suetin, Sergeĭ Pavlovich
18 Branquinho, Amílcar José Pinto Lopes
17 Yattselev, Maxim L.
16 Tulyakov, Dmitrii N.
11 Foulquié Moreno, Ana Pilar
11 Sánchez-Moreno, Pablo
11 Starovoĭtov, Aleksandr Pavlovich
10 Durán, Antonio José
10 Lysov, Vladimir G.
9 Delvaux, Steven
9 López García, Abey
9 Lubinsky, Doron S.
8 Beckermann, Bernhard
8 Denisov, Sergey A.
8 Peherstorfer, Franz
8 Yáñez, Rafael J.
7 Ben Cheikh, Youssèf
7 Bleher, Pavel M.
7 Draux, André
7 Duits, Maurice
7 Garza, Luis E.
7 Rakhmanov, Evgenij Andreevich
7 Silva, Guilherme L. F.
7 Toranzo, Irene V.
7 Wielonsky, Franck
7 Zhang, Lun
6 Adler, Mark
6 Barrios Rolanía, D.
6 Bertola, Marco
6 Derevyagin, Maxim S.
6 García-Ardila, Juan Carlos
6 Geronimo, Jeffrey S.
6 Kalyagin, Valery A.
6 Kozhan, Rostyslav V.
6 Lamiri, Imed
6 Lapik, M. A.
6 Simon, Barry
6 van Moerbeke, Pierre
6 Zhedanov, Alexei S.
5 Baratchart, Laurent
5 Fuentes, Edinson
5 Mañas, Manuel
5 Román, Pablo Manuel
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 Chaggara, Hamza
4 Choque Rivero, Abdon Eddy
4 Coussement, Jonathan
4 Dette, Holger
4 Driver, Kathy A.
4 Fidalgo, Ulises
4 Filipuk, Galina V.
4 Hessami Pilehrood, Khodabakhsh
4 Hessami Pilehrood, Tatiana
4 Komlov, Aleksandr V.
4 Kuan, Jeffrey
4 Mañas-Mañas, Juan F.
4 Ouni, Abdelwaheb
4 Pijeira-Cabrera, Héctor
4 Rykov, Yurii G.
4 Wang, Dong
4 Yakhlef, Hossain O.
3 Ariznabarreta, Gerardo
3 Arvesú, Jorge
3 Berriochoa, Elías
3 Bogolyubskiĭ, Alekseĭ Igor’evich
3 Buslaev, Viktor Ivanovich
3 Chang, Xiangke
3 Christiansen, Jacob Stordal
3 Claeys, Tom
3 Coussement, Els
3 Daems, Evi
3 Dueñas, Herbert
3 Eichinger, Benjamin
3 Hardy, Adrien
3 Khorozov, Emil Ivanov
3 Kechko, Elena Petrovna
3 Lee, Ji Oon
3 Lukashov, Alekseĭ Leonidovich
3 Milovanović, Gradimir V.
3 Mo, Man Yue
3 Moreno-Balcázar, Juan José
3 Puertas-Centeno, David
3 Ranga, A. Sri
3 Rivoal, Tanguy
3 Rocha, Ignacio A.
3 Rodríguez García, José Manuel
3 Rogosin, Sergei V.
...and 401 more Authors
all top 5

Cited in 134 Serials

83 Journal of Approximation Theory
55 Journal of Computational and Applied Mathematics
24 Mathematical Notes
23 Constructive Approximation
23 Proceedings of the Steklov Institute of Mathematics
19 Communications in Mathematical Physics
17 Journal of Mathematical Physics
16 Journal of Mathematical Analysis and Applications
14 Integral Transforms and Special Functions
13 Advances in Mathematics
13 Applied Mathematics and Computation
12 Linear Algebra and its Applications
11 Proceedings of the American Mathematical Society
11 Sbornik: Mathematics
9 Journal d’Analyse Mathématique
9 Russian Mathematical Surveys
8 Communications on Pure and Applied Mathematics
8 Random Matrices: Theory and Applications
7 Transactions of the American Mathematical Society
7 Numerical Algorithms
7 Journal of Difference Equations and Applications
7 Journal of Mathematical Chemistry
7 Lobachevskii Journal of Mathematics
7 Computational Methods and Function Theory
6 Journal of Statistical Physics
6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
6 Bulletin of Mathematical Sciences
5 Journal of Functional Analysis
5 Transactions of the Moscow Mathematical Society
5 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
5 Indagationes Mathematicae. New Series
5 Russian Mathematics
5 Russian Journal of Mathematical Physics
5 Doklady Mathematics
4 Applied Numerical Mathematics
4 Journal of Mathematical Sciences (New York)
4 Mediterranean Journal of Mathematics
4 Complex Analysis and Operator Theory
3 Rocky Mountain Journal of Mathematics
3 Theoretical and Mathematical Physics
3 The Annals of Probability
3 Studies in Applied Mathematics
3 Physica D
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 Journal of Physics A: Mathematical and Theoretical
2 Computer Methods in Applied Mechanics and Engineering
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 Communications in Partial Differential Equations
2 The Ramanujan Journal
2 Foundations of Computational Mathematics
2 Analysis and Applications (Singapore)
2 Journal of Statistical Mechanics: Theory and Experiment
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Journal of Spectral Theory
2 Problemy Fiziki, Matematiki i Tekhniki
2 Annalen der Physik
2 Concrete Operators
2 Special Matrices
1 Analysis Mathematica
1 Computers & Mathematics with Applications
1 Journal of Computational Physics
1 Letters in Mathematical Physics
1 Linear and Multilinear Algebra
1 Mathematical Methods in the Applied Sciences
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 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 SIAM Journal on Numerical Analysis
1 Advances in Applied Mathematics
1 Zeitschrift für Analysis und ihre Anwendungen
1 Acta Applicandae Mathematicae
1 Applied Mathematics Letters
1 Journal of the American Mathematical Society
1 European Journal of Applied Mathematics
1 The Annals of Applied Probability
...and 34 more Serials
all top 5

Cited in 47 Fields

263 Special functions (33-XX)
242 Harmonic analysis on Euclidean spaces (42-XX)
144 Approximations and expansions (41-XX)
125 Functions of a complex variable (30-XX)
73 Probability theory and stochastic processes (60-XX)
69 Linear and multilinear algebra; matrix theory (15-XX)
60 Operator theory (47-XX)
44 Statistical mechanics, structure of matter (82-XX)
35 Information and communication theory, circuits (94-XX)
34 Partial differential equations (35-XX)
34 Dynamical systems and ergodic theory (37-XX)
34 Numerical analysis (65-XX)
34 Quantum theory (81-XX)
33 Ordinary differential equations (34-XX)
32 Potential theory (31-XX)
30 Difference and functional equations (39-XX)
21 Number theory (11-XX)
17 Real functions (26-XX)
11 Integral transforms, operational calculus (44-XX)
11 Statistics (62-XX)
8 Fluid mechanics (76-XX)
7 Sequences, series, summability (40-XX)
6 Algebraic geometry (14-XX)
6 Global analysis, analysis on manifolds (58-XX)
6 Mechanics of deformable solids (74-XX)
5 Combinatorics (05-XX)
4 History and biography (01-XX)
4 Functional analysis (46-XX)
4 Biology and other natural sciences (92-XX)
3 Measure and integration (28-XX)
3 Integral equations (45-XX)
2 Topological groups, Lie groups (22-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Convex and discrete geometry (52-XX)
2 Mechanics of particles and systems (70-XX)
1 General and overarching topics; collections (00-XX)
1 Field theory and polynomials (12-XX)
1 Commutative algebra (13-XX)
1 Group theory and generalizations (20-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Manifolds and cell complexes (57-XX)
1 Computer science (68-XX)
1 Optics, electromagnetic theory (78-XX)
1 Astronomy and astrophysics (85-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

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