Asymptotics of Hermite-Padé approximants of the first type for discrete Meixner measures

DOI10.1134/S1995080221110214zbMath1482.42070OpenAlexW3210856673MaRDI QIDQ2241354

Vladimir N. Sorokin

Publication date: 9 November 2021

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080221110214

zbMATH Keywords

Meixner polynomialsHermite-Padé approximantsequilibrium problems for logarithmic potentials

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Padé approximation (41A21) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15) Diophantine approximation, transcendental number theory (11J99)

Related Items (1)

On polynomials defined by the discrete Rodrigues formula

Cites Work

• A new proof of the irrationality of \(\zeta (2)\) and \(\zeta (3)\) using Padé approximants
• On multiple orthogonal polynomials for discrete Meixner measures
• Nombres Exponentiels Et Nombres De Bernoulli
• ON ASYMPTOTIC PROPERTIES OF POLYNOMIALS ORTHOGONAL ON THE REAL AXIS
• Equilibrium measure and the distribution of zeros of the extremal polynomials of a discrete variable
• Hermite-Pade approximants for systems of Markov-type functions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Asymptotics of Hermite-Padé approximants of the first type for discrete Meixner measures