A. Aptekarev

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Sharp constants for rational approximations of analytic functions

A. Aptekarev, 2002 .

Direct and inverse problems for vector logarithmic potentials with external fields

A. Aptekarev, A. I. Aptekarev, M. A. Lapik, 2019, Analysis and Mathematical Physics.

Strong asymptotics for the Pollaczek multiple orthogonal polynomials

A. Martínez-Finkelshtein, A. Aptekarev, G. Lopez Lagomasino, 2014, 1410.1261.

On Nikishin systems with discrete components and weak asymptotics of multiple orthogonal polynomials

A. Martínez-Finkelshtein, A. Aptekarev, G. L. Lagomasino, 2014, 1403.3729.

Asymptotics for Multiple Meixner Polynomials

J. Arves'u, A. Aptekarev, J. Arves'u, 2012, 1207.0463.

Padé approximants for functions with branch points — strong asymptotics of Nuttall–Stahl polynomials

Maxim L. Yattselev, Alexander I. Aptekarev, A. Aptekarev, 2011, 1109.0332.

Padé approximants, continued fractions, and orthogonal polynomials

A. Martínez-Finkelshtein, A. Aptekarev, V. Buslaev, 2011 .

Asymptotics of Hermite–Padé Rational Approximants for Two Analytic Functions with Separated Pairs of Branch Points (Case of Genus 0)

W. Van Assche, A. Kuijlaars, W. Assche, 2007, 0708.0946.

Multidimensional Toda Lattices: Continuous and Discrete Time

Maxim S. Derevyagin, H. Miki, W. Assche, 2015, 1511.08098.

Semiclassical Multiple Orthogonal Polynomials and the Properties of Jacobi-Bessel Polynomials

I. A. Rocha, F. Marcellán, A. Aptekarev, 1997 .

Convergence of ray sequences of Frobenius-Padé approximants

A. Aptekarev, A. I. Aptekarev, M. Yattselev, 2017 .

The Shannon entropy of high‐dimensional hydrogenic and harmonic systems

J. S. Dehesa, A. Aptekarev, I. V. Toranzo, 2019, International Journal of Quantum Chemistry.

On a problem by Steklov

A. Aptekarev, D. Tulyakov, S. Denisov, 2014, 1402.1145.

Large n Limit of Gaussian Random Matrices with External Source, Part II

A. Kuijlaars, P. Bleher, A. Aptekarev, 2004, math-ph/0408041.

ASYMPTOTICS OF MEIXNER POLYNOMIALS AND

A. Aptekarev, D. N. Tulyakov, 2013 .

On Asymptotics of the Sharp Constants of the Markov–Bernshtein Inequalities for the Sobolev Spaces

A. Draux, A. Aptekarev, D. Tulyakov, 2018, Lobachevskii Journal of Mathematics.

On asymptotics of the sharp constants of the Markov-Bernshtein inequalities for the Sobolev spaces with coherent weights

A. Draux, A. Aptekarev, D. Tulyakov, 2017 .

Selfadjoint Jacobi matrices on graphs and multiple orthogonal polynomials

A. Aptekarev, M. Yattselev, S. Denisov, 2018 .

The leading term of the Plancherel-Rotach asymptotic formula for solutions of recurrence relations

A. Aptekarev, D. N. Tulyakov, 2014 .

ASYMPTOTICS OF ORTHOGONAL POLYNOMIALS IN A NEIGHBORHOOD OF THE ENDPOINTS OF THE INTERVAL OF ORTHOGONALITY

A. Aptekarev, 1993 .

V.A. Steklov’s problem of estimating the growth of orthogonal polynomials

A. Aptekarev, S. Denisov, D. N. Tulyakov, 2015 .

V.A. Steklov’s problem of estimating the growth of orthogonal polynomials

A. Aptekarev, D. N. Tulyakov, S. Denisov, 2015, Proceedings of the Steklov Institute of Mathematics.

Discrete integrable systems generated by Hermite-Padé approximants

Maxim S. Derevyagin, A. Aptekarev, W. Van Assche, 2014, 1409.4053.

Hermite-Padé approximations and multiple orthogonal polynomial ensembles

Arno B. J. Kuijlaars, A. Kuijlaars, A. Aptekarev, 2011 .

Multiple orthogonal polynomials

A. Aptekarev, Alexander Ivanovich Aptekarev, 1998 .

On Perfectness of Systems of Weights Satisfying Pearson's Equation with Nonstandard Parameters

A. Aptekarev, V. Lysov, A. Dyachenko, 2023, Axioms.

Toda-type differential equations for the recurrence coefficients of orthogonal polynomials and Freud transformation

F. Marcellán, A. Aptekarev, A. Branquinho, 1997 .

Varying weights for orthogonal polynomials with monotonically varying recurrence coefficients

Walter Van Assche, Alexander I. Aptekarev, Jeffrey S. Geronimo, 2008, J. Approx. Theory.

ASYMPTOTIC BEHAVIOR OF THE Lp-NORMS AND THE ENTROPY FOR GENERAL ORTHOGONAL POLYNOMIALS

A. Aptekarev, V. Buyarov, I. S. Degeza, 1995 .

Strong asymptotics of Laguerre polynomials and information entropies of two-dimensional harmonic oscillator and one-dimensional Coulomb potentials

Jesús S. Dehesa, R. J. Yáñez, J. S. Dehesa, 1998 .

On the limit behavior of recurrence coefficients for multiple orthogonal polynomials

Valeriy A. Kalyagin, Guillermo López Lagomasino, Alexander I. Aptekarev, 2006, J. Approx. Theory.

Multiple orthogonal polynomials for classical weights

W. Van Assche, W. Assche, A. Aptekarev, 2003 .

The Genetic Sums' Representation for the Moments of a System of Stieltjes Functions and its Application

A. Aptekarev, V. Kaliaguine, J. Van Iseghem, 2000 .

Strong asymptotics for the continuous Sobolev Orthogonal polynomials on the unit circle

A. Aptekarev, A. Cachafeiro, E. Berriochoa, 1999 .

Higher-Order Three-Term Recurrences and Asymptotics of Multiple Orthogonal Polynomials

Edward B. Saff, Valery A. Kalyagin, E. Saff, 2009 .

Rational Approximations and Orthogonality, Translations of Mathematical Monographs, Volume 92, E. M. Nikishin and V. N. Sorokin, American Mathematical Society, 1991, viii + 221 pp

A. Aptekarev, A. I. Aptekarev, 1993 .

Orthogonal polynomials with respect to a differential operator. Existence and uniqueness

F. Marcellán, A. Aptekarev, G. Lagomasino, 2002 .

The Scattering Problem for a Discrete Sturm-Liouville Operator

A. Aptekarev, Alexander Ivanovich Aptekarev, E M Nikishin, 1984 .

Discrete Entropies of Orthogonal Polynomials

Jesús Sánchez-Dehesa, R. J. Yáñez, Andrei Martínez-Finkelshtein, 2007, ArXiv.

Differential equations for the recurrence coefficients limits for multiple orthogonal polynomials from a Nevai class

Alexander I. Aptekarev, Rostyslav Kozhan, Rostyslav Kozhan, 2019, J. Approx. Theory.

BIT Numerical Mathematics: Editorial

Raymond H. Chan, A. C. Damhaug, Dimitri Breda, 2005 .

Szeg\H{o}-type asymptotics for ray sequences of Frobenius-Pad\’e approximants

A. I. Bogolubsky, A. Aptekarev, M. Yattselev, 2016, 1605.09672.

Scalar and matrix Riemann-Hilbert approach to the strong asymptotics of Padé approximants and complex orthogonal polynomials with varying weight

Walter Van Assche, Alexander I. Aptekarev, W. Assche, 2004, J. Approx. Theory.

Continuity of Weighted Operators, Muckenhoupt Ap Weights, and Steklov Problem for Orthogonal Polynomials

A. Aptekarev, S. Denisov, Michel Alexis, 2020, International Mathematics Research Notices.

Evgenii Mikhailovich Chirka

V. A. Zorich, A. Sergeev, A. Aptekarev, 2018, Russian Mathematical Surveys.

Continuity of Weighted Operators in $A_p$ Weights and Steklov Problem for Orthogonal Polynomials

A. Aptekarev, S. Denisov, Michel Alexis, 2019, 1912.09377.

ASYMPTOTIC PROPERTIES OF POLYNOMIALS ORTHOGONAL ON A SYSTEM OF CONTOURS, AND PERIODIC MOTIONS OF TODA LATTICES

A. Aptekarev, Alexander Ivanovich Aptekarev, 1986 .

Self-adjoint Jacobi matrices on trees and multiple orthogonal polynomials

A. Aptekarev, M. Yattselev, S. Denisov, 2018, Transactions of the American Mathematical Society.

In memoriam: Herbert Stahl August 3, 1942-April 22, 2013

Alexander I. Aptekarev, Vilmos Totik, Paul Nevai, 2014, J. Approx. Theory.

The saturation regime of Meixner polynomials and the discrete Bessel kernel

A. Aptekarev, D. N. Tulyakov, 2015 .

Asymptotics of Lp-norms of Hermite polynomials and Renyi entropy of Rydberg oscillator states

J. S. Dehesa, A. Aptekarev, D. N. Tulyakov, 2012 .

Rényi entropies of the highly-excited states of multidimensional harmonic oscillators by use of strong Laguerre asymptotics

J. S. Dehesa, A. Aptekarev, I. V. Toranzo, 2016, 1602.05371.

Rényi entropy of the infinite well potential in momentum space and Dirichlet-like trigonometric functionals

J. S. Dehesa, A. Aptekarev, D. N. Tulyakov, 2012, Journal of Mathematical Chemistry.

Asymptotics of Hermite-Padé Polynomials

A. Aptekarev, H. Stahl, 1992 .

Ratio asymptotics of Hermite-Padé polynomials for Nikishin systems

I. A. Rocha, A. Aptekarev, G. López, 2005 .

Strong asymptotics of multiply orthogonal polynomials for Nikishin systems

A. Aptekarev, 1999 .

Asymptotic behavior of the spectrum of combination scattering at Stokes phonons

A. Aptekarev, M. A. Lapik, Y. Orlov, 2017 .

Systems of Markov functions generated by graphs and the asymptotics of their Hermite-Padé approximants

A. Aptekarev, V. Lysov, 2010 .

Nuttall's Abelian integral on the Riemann surface of the cube root of a polynomial of degree 3

A. Aptekarev, D. N. Tulyakov, 2016 .

Equilibrium of vector potentials and uniformization of the algebraic curves of genus 0

Valeriy A. Kalyagin, Alexander I. Aptekarev, D. N. Toulyakov, 2009, J. Comput. Appl. Math..

Random matrices with external source and the asymptotic behaviour of multiple orthogonal polynomials

A. Aptekarev, Alexander Ivanovich Aptekarev, V. Lysov, 2011 .

Global eigenvalue distribution regime of random matrices with an anharmonic potential and an external source

A. Aptekarev, V. Lysov, D. Tulyakov, 2009 .

ASYMPTOTICS OF SIMULTANEOUSLY ORTHOGONAL POLYNOMIALS IN THE ANGELESCO CASE

A. Aptekarev, 1989 .

Hyperelliptic uniformization of algebraic curves of the third order

Walter Van Assche, Alexander I. Aptekarev, D. N. Toulyakov, 2014, J. Comput. Appl. Math..

Asymptotics of Meixner polynomials and Christoffel–Darboux kernels

A. Aptekarev, D. N. Tulyakov, 2013 .

ASYMPTOTICS OF HADAMARD DETERMINANTS AND THE CONVERGENCE OF ROWS OF PADÉ APPROXIMANTS FOR SUMS OF EXPONENTIALS

A. Aptekarev, 1982 .

Hermite‐Padé Approximants for a Pair of Cauchy Transforms with Overlapping Symmetric Supports

A. Aptekarev, M. Yattselev, W. Van Assche, 2015, 1505.03993.

Asymptotics of Hermite-Padé approximants for two functions with branch points

A. Aptekarev, Alexander Ivanovich Aptekarev, 2008 .

Asymptotics of discrete orthogonal polynomials and the continuum limit of the Toda lattice

W. Van Assche, W. Assche, A. Aptekarev, 2001 .

Geometry of Hermite-Padé approximants for system of functions {f,f 2 } with three branch points

A. Aptekarev, D. N. Tulyakov, 2012 .

On the parametrization of a certain algebraic curve of genus 2

D. N. Toulyakov, A. Aptekarev, M. Yattselev, 2015 .

Asymptotic γ-forms generated by multiple orthogonal polynomials

A. Aptekarev, V. Lysov, 2011 .

Four-term recurrence relations for γ-forms

A. Aptekarev, D. N. Tulyakov, 2011 .

Plancherel–Rotach type asymptotic formulae for multiple orthogonal Hermite polynomials and recurrence relations

S. Y. Dobrokhotov, A. Aptekarev, D. N. Tulyakov, 2022 .

RATIONAL APPROXIMANTS FOR THE EULER CONSTANT AND RECURRENCE RELATIONS

A. Aptekarev, V. Lysov, 2011 .

On the determinant of an integral lattice generated by rational approximants of the Euler constant

A. Aptekarev, D. N. Tulyakov, 2009 .

Jacobi matrices on trees generated by Angelesco systems: asymptotics of coefficients and essential spectrum

A. Aptekarev, M. Yattselev, S. Denisov, 2020, Journal of Spectral Theory.

Criterion for the resolvent set of nonsymmetric tridiagonal operators

W. Assche, A. Aptekarev, V. Kaliaguine, 1994, math/9401208.

On a Characterization of Integrability for the Reciprocal Weight of Orthogonal Polynomials on the Circle

A. Aptekarev, A. Cachafeiro, E. Berriochoa, 2000 .

Emergence of a Hierarchy of Singularities in Zero-Pressure Media. Two-Dimensional Case

A. Aptekarev, Y. Rykov, 2022, Mathematical Notes.

The Steklov problem and estimates for orthogonal polynomials with A p (T) weights

A. Aptekarev, Sergey A. Denisov, 2016 .

Matrix Riemann-Hilbert Analysis for the Case of Higher Genus – Asymptotics of Polynomials Orthogonal on a System of Intervals

A. Aptekarev, 2008 .

On 2D discrete Schrödinger operators associated with multiple orthogonal polynomials

Maxim S. Derevyagin, W. Assche, A. Aptekarev, 2014, 1410.1332.

Measures for orthogonal polynomials with unbounded recurrence coefficients

Alexander I. Aptekarev, Jeffrey S. Geronimo, J. Geronimo, 2014, J. Approx. Theory.