Scalar and matrix Riemann-Hilbert approach to the strong asymptotics of Padé approximants and complex orthogonal polynomials with varying weight. - Alexander I. Aptekarev; Walter Van Assche (J. Approx. Theory, 2004)

A scalar Riemann boundary value problem approach to orthogonal polynomials on the circle. - Alexander I. Aptekarev; Alicia Cachafeiro; Francisco Marcellán (J. Approx. Theory, 2006)

On the limit behavior of recurrence coefficients for multiple orthogonal polynomials. - Alexander I. Aptekarev; Valeriy A. Kalyagin; Guillermo López Lagomasino; I. A. Rocha (J. Approx. Theory, 2006)

Discrete entropies of orthogonal polynomials - Alexander I. Aptekarev; Jesús Sánchez-Dehesa; Andrei Martínez-Finkelshtein; R. J. Yáñez (CoRR, 2007)

Varying weights for orthogonal polynomials with monotonically varying recurrence coefficients. - Alexander I. Aptekarev; Jeffrey S. Geronimo; Walter Van Assche (J. Approx. Theory, 2008)

Equilibrium of vector potentials and uniformization of the algebraic curves of genus 0. - Alexander I. Aptekarev; Valeriy A. Kalyagin; Vladimir G. Lysov; D. N. Toulyakov (J. Comput. Appl. Math., 2009)

Asymptotics of orthogonal polynomial's entropy. - Alexander I. Aptekarev; Jesús Sánchez-Dehesa; Andrei Martínez-Finkelshtein (J. Comput. Appl. Math., 2010)

In memoriam: Herbert Stahl August 3, 1942-April 22, 2013. - Alexander I. Aptekarev; Paul Nevai; Vilmos Totik (J. Approx. Theory, 2014)

Hyperelliptic uniformization of algebraic curves of the third order. - Alexander I. Aptekarev; D. N. Toulyakov; Walter Van Assche (J. Comput. Appl. Math., 2015)

Measures for orthogonal polynomials with unbounded recurrence coefficients. - Alexander I. Aptekarev; Jeffrey S. Geronimo (J. Approx. Theory, 2016)

Differential equations for the recurrence coefficients limits for multiple orthogonal polynomials from a Nevai class. - Alexander I. Aptekarev; Rostyslav Kozhan (J. Approx. Theory, 2020)

On Perfectness of Systems of Weights Satisfying Pearson's Equation with Nonstandard Parameters. - Alexander I. Aptekarev; Alexander Dyachenko; Vladimir G. Lysov (Axioms, 2023)