Edit Profile (opens in new tab) Tulyakov, Dmitrii N. Co-Author Distance Author ID: tulyakov.dmitrii-n Published as: Tulyakov, D. N.; Tulyakov, Dmitrii N.; Toulyakov, D. N.; Toulyakov, Dmitrii; Tuljakov, D. N.; Tulyakov, D. more...less External Links: Math-Net.Ru Documents Indexed: 39 Publications since 1997, including 2 Additional arXiv Preprints Co-Authors: 22 Co-Authors with 31 Joint Publications 1,005 Co-Co-Authors all top 5 Co-Authors 8 single-authored 26 Aptekarev, Alexander Ivanovich 5 Lysov, Vladimir G. 3 Dehesa, Jesús S. 3 Denisov, Sergey A. 3 Draux, André 2 Dudnikova, Tat’yana V. 2 Kalyagin, Valery A. 1 Belega, Elena D. 1 Bukhshtaber, Viktor Matveevich 1 Chirka, Evgeniĭ Mikhaĭlovich 1 Dobrokhotov, Sergei Yurievich 1 Dubinin, Vladimir N. 1 Kaliaguine, Valeri A. 1 Kashin, Boris Sergeevich 1 Lapik, M. A. 1 Peherstorfer, Franz 1 Shkalikov, Andreĭ Andreevich 1 Sorokin, Vladimir N. 1 Suetin, Sergeĭ Pavlovich 1 Toranzo, Irene V. 1 Tsvetkova, Anna V. 1 Van Assche, Walter 1 Yattselev, Maxim L. all top 5 Serials 6 Proceedings of the Steklov Institute of Mathematics 5 Mathematical Notes 5 Sbornik: Mathematics 4 Russian Mathematical Surveys 3 Lobachevskii Journal of Mathematics 2 Moscow University Mathematics Bulletin 2 Journal of Computational and Applied Mathematics 2 Transactions of the Moscow Mathematical Society 2 Izvestiya: Mathematics 1 Theoretical and Mathematical Physics 1 Proceedings of the American Mathematical Society 1 Journal of the American Mathematical Society 1 Journal of Mathematical Chemistry 1 Computational Methods and Function Theory all top 5 Fields 14 Special functions (33-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 9 Approximations and expansions (41-XX) 7 Functions of a complex variable (30-XX) 5 Difference and functional equations (39-XX) 4 Probability theory and stochastic processes (60-XX) 4 Information and communication theory, circuits (94-XX) 3 Number theory (11-XX) 2 Algebraic geometry (14-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Operator theory (47-XX) 2 Manifolds and cell complexes (57-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 31 Publications have been cited 169 times in 105 Documents Cited by ▼ Year ▼ 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 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 On a problem by Steklov. Zbl 1348.42024 Aptekarev, A.; Denisov, S.; Tulyakov, D. 10 2016 Difference equations having bases with powerlike growth which are perturbed by a spectral parameter. Zbl 1184.39007 Tulyakov, D. N. 10 2009 Plancherel-Rotach type asymptotics for solutions of linear recurrence relations with rational coefficients. Zbl 1242.39002 Tulyakov, D. N. 10 2010 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 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 Local asymptotics of the ratio of orthogonal polynomials in the neighbourhood of an end-point of the support of the orthogonality measure. Zbl 1019.42016 Tulyakov, D. N. 7 2001 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 On a vector potential-theory equilibrium problem with the Angelesco matrix. Zbl 1388.30043 Lysov, V. G.; Tulyakov, D. N. 6 2017 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 A system of recurrence relations for rational approximations of the Euler constant. Zbl 1205.41011 Tulyakov, D. N. 6 2009 Asymptotics of \(L_p\)-norms of Laguerre polynomials. Zbl 1346.42030 Aptekarev, A. I.; Tulyakov, D. N. 5 2015 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 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 supports of vector equilibrium measures in the Angelesco problem with nested intervals. Zbl 1401.31008 Lysov, V. G.; Tulyakov, D. N. 3 2018 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 High-dimensional oscillators and Laguerre polynomials. Zbl 1416.81037 Belega, Elena D.; Tulyakov, Dmitrii N. 2 2017 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 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 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 A procedure for finding asymptotic expansions for solutions of difference equations. Zbl 1287.39001 Tulyakov, D. N. 1 2011 Recurrence relations and asymptotics of colored Jones polynomials. Zbl 1494.57014 Aptekarev, A. I.; Dudnikova, T. V.; Tulyakov, D. N. 1 2021 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 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 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 Recurrence relations and asymptotics of colored Jones polynomials. Zbl 1494.57014 Aptekarev, A. I.; Dudnikova, T. V.; Tulyakov, D. N. 1 2021 On the supports of vector equilibrium measures in the Angelesco problem with nested intervals. Zbl 1401.31008 Lysov, V. G.; Tulyakov, D. N. 3 2018 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 On a vector potential-theory equilibrium problem with the Angelesco matrix. Zbl 1388.30043 Lysov, V. G.; Tulyakov, D. N. 6 2017 High-dimensional oscillators and Laguerre polynomials. Zbl 1416.81037 Belega, Elena D.; Tulyakov, Dmitrii N. 2 2017 On a problem by Steklov. Zbl 1348.42024 Aptekarev, A.; Denisov, S.; Tulyakov, D. 10 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 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 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 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 Four-term recurrence relations for \(\gamma\)-forms. Zbl 1317.33008 Aptekarev, A. I.; Tulyakov, D. N. 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 A procedure for finding asymptotic expansions for solutions of difference equations. Zbl 1287.39001 Tulyakov, D. N. 1 2011 Plancherel-Rotach type asymptotics for solutions of linear recurrence relations with rational coefficients. Zbl 1242.39002 Tulyakov, D. N. 10 2010 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 Difference equations having bases with powerlike growth which are perturbed by a spectral parameter. Zbl 1184.39007 Tulyakov, 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 A system of recurrence relations for rational approximations of the Euler constant. Zbl 1205.41011 Tulyakov, D. N. 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 Discrete spectra of certain co-recursive Pollaczek polynomials and its applications. Zbl 1061.33005 Aptekarev, Alexandre I.; Draux, André; Toulyakov, Dmitrii 4 2002 Local asymptotics of the ratio of orthogonal polynomials in the neighbourhood of an end-point of the support of the orthogonality measure. Zbl 1019.42016 Tulyakov, D. N. 7 2001 all cited Publications top 5 cited Publications all top 5 Cited by 97 Authors 17 Aptekarev, Alexander Ivanovich 15 Tulyakov, Dmitrii N. 8 Dehesa, Jesús S. 7 Martínez-Finkelshtein, Andrei 6 Suetin, Sergeĭ Pavlovich 5 Denisov, Sergey A. 5 Kuijlaars, Arno B. J. 5 Lapik, M. A. 4 Dobrokhotov, Sergei Yurievich 4 Draux, André 4 Hessami Pilehrood, Khodabakhsh 4 Hessami Pilehrood, Tatiana 4 Lysov, Vladimir G. 4 Silva, Guilherme L. F. 4 Starovoĭtov, Aleksandr Pavlovich 4 Toranzo, Irene V. 4 Tsvetkova, Anna V. 4 Van Assche, Walter 3 Buslaev, Viktor Ivanovich 3 Flores-Gallegos, Nelson 3 Komlov, Aleksandr V. 3 Lubinsky, Doron S. 3 Rush, Keith 2 Belega, Elena D. 2 Bessonov, Roman V. 2 Claeys, Tom 2 Delvaux, Steven 2 Deschout, Klaas 2 Dudnikova, Tat’yana V. 2 Fejzullahu, Bujar Xh. 2 Hanin, Boris L. 2 Kechko, Elena Petrovna 2 Levin, Eli 2 López Lagomasino, Guillermo Tomás 2 Marcellán Español, Francisco 2 Puertas-Centeno, David 2 Rodríguez García, José Manuel 2 Wang, Dong 2 Yattselev, Maxim L. 2 Zelditch, Steve 1 Aleksov, Dragomir I. 1 Andrievskii, Vladimir V. 1 Bertola, Marco 1 Bizoń, Piotr 1 Bleher, Pavel M. 1 Bogolyubskiĭ, Alekseĭ Igor’evich 1 Bruno, Alexander Dmitrievich 1 Cafasso, Mattia 1 Chirka, Evgeniĭ Mikhaĭlovich 1 Dominici, Diego Ernesto 1 Dragnev, Peter D. 1 Eichinger, Benjamin 1 Evnin, Oleg 1 Ficek, Filip 1 Fuglede, Bent 1 Gubkin, Pavel 1 Hardin, Douglas P. 1 Ismail, Mourad El-Houssieny 1 Kalmykov, Sergeĭ Ivanovich 1 Kalyagin, Valery A. 1 Kim, Dae San 1 Kim, Taekyun 1 Kompaneets, E. G. 1 Kovacheva, Ralitsa Krumova 1 Kozhan, Rostyslav V. 1 Lagarias, Jeffrey C. 1 Lee, Roman N. 1 Li, Xin 1 López, José Luis 1 Mansour, Toufik 1 Mingulov, Kirill T. 1 Nagy, Béla 1 Nikolov, Geno P. 1 Olendski, Oleg 1 Orive Rodríguez, Ramón Angel 1 Orlov, Yurii N. 1 Palv’elev, Roman Vital’evich 1 Quintana, Yamilet 1 Rakhmanov, Evgenij Andreevich 1 Rocha, Ignacio A. 1 Román, Pablo Manuel 1 Saff, Edward Barry 1 Sánchez Lara, Joaquin F. 1 Seo, Jongjin 1 Sète, Olivier 1 Sobrino, Nahual 1 Starkov, Victor V. 1 Świderski, Grzegorz 1 Takata, Tomohiro 1 Totik, Vilmos 1 Wang, Heping 1 Ye, Wenrui 1 Yuditskii, Peter Meerovich 1 Zarzo, Alejandro 1 Zhai, Xuebo 1 Zhang, Lun 1 Zorii, Natalia all top 5 Cited in 46 Serials 10 Journal of Approximation Theory 8 Proceedings of the Steklov Institute of Mathematics 7 Mathematical Notes 5 Constructive Approximation 5 Journal of Mathematical Chemistry 5 Lobachevskii Journal of Mathematics 4 Journal d’Analyse Mathématique 4 Proceedings of the American Mathematical Society 4 Sbornik: Mathematics 3 Communications in Mathematical Physics 3 Journal of Mathematical Analysis and Applications 3 Russian Mathematical Surveys 3 Transactions of the Moscow Mathematical Society 2 Communications on Pure and Applied Mathematics 2 Journal of Mathematical Physics 2 Advances in Mathematics 2 Journal of Computational and Applied Mathematics 2 Russian Journal of Mathematical Physics 2 Doklady Mathematics 2 Bulletin of Mathematical Sciences 1 Computer Physics Communications 1 Journal of Statistical Physics 1 Physica A 1 Theoretical and Mathematical Physics 1 Applied Mathematics and Computation 1 Collectanea Mathematica 1 Integral Equations and Operator Theory 1 Journal of Number Theory 1 Programming and Computer Software 1 Communications in Partial Differential Equations 1 Bulletin of the American Mathematical Society. New Series 1 Indagationes Mathematicae. New Series 1 Russian Mathematics 1 Integral Transforms and Special Functions 1 Journal of Difference Equations and Applications 1 Izvestiya: Mathematics 1 The Ramanujan Journal 1 Journal of Inequalities and Applications 1 Journal of High Energy Physics 1 Journal of the Australian Mathematical Society 1 Journal of Statistical Mechanics: Theory and Experiment 1 Journal of Physics A: Mathematical and Theoretical 1 Journal of Spectral Theory 1 Analysis and Mathematical Physics 1 Annalen der Physik 1 Annales Fennici Mathematici all top 5 Cited in 28 Fields 41 Special functions (33-XX) 38 Harmonic analysis on Euclidean spaces (42-XX) 31 Approximations and expansions (41-XX) 23 Functions of a complex variable (30-XX) 14 Quantum theory (81-XX) 9 Potential theory (31-XX) 9 Probability theory and stochastic processes (60-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Real functions (26-XX) 7 Information and communication theory, circuits (94-XX) 6 Number theory (11-XX) 5 Ordinary differential equations (34-XX) 5 Partial differential equations (35-XX) 5 Statistical mechanics, structure of matter (82-XX) 3 Algebraic geometry (14-XX) 3 Numerical analysis (65-XX) 2 Difference and functional equations (39-XX) 2 Operator theory (47-XX) 2 Manifolds and cell complexes (57-XX) 1 History and biography (01-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral transforms, operational calculus (44-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX) Citations by Year