On polynomials defined by the discrete Rodrigues formula

DOI10.1134/S0001434623030112OpenAlexW4365814611MaRDI QIDQ2699778

Vladimir N. Sorokin

Publication date: 19 April 2023

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434623030112

zbMATH Keywords

saddle point methodequilibrium problemalgebraic functionMeixner polynomialdiscrete Rodrigues formula

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Approximations and expansions (41Axx) Miscellaneous topics of analysis in the complex plane (30Exx) Other special functions (33Exx)

Cites Work

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• Multipoint Padé approximations of the beta function
• On multiple orthogonal polynomials for three Meixner measures
• A new proof of the irrationality of \(\zeta (2)\) and \(\zeta (3)\) using Padé approximants
• Multipoint Hermite-Padé approximations for beta functions
• Asymptotics of Hermite-Padé approximants of the first type for discrete Meixner measures
• Asymptotics of multipoint Hermite-Padé approximants of the first type for two beta functions
• On the Zudilin-Rivoal theorem
• Multipoint Padé approximation of the psi function
• Two examples related to properties of discrete measures
• On multiple orthogonal polynomials for discrete Meixner measures
• Nombres Exponentiels Et Nombres De Bernoulli
• Equilibrium measure and the distribution of zeros of the extremal polynomials of a discrete variable
• Hermite-Pade approximants for systems of Markov-type functions
• Orthogonale Polynomsysteme Mit Einer Besonderen Gestalt Der Erzeugenden Funktion
• Hermite-Padé approximants to the Weyl function and its derivative for discrete measures
• Padé-Chebyshev approximants of multivalued analytic functions, variation of equilibrium energy, and the $ S$-property of stationary compact sets
• Orthogonal Polynomials and 𝑆-curves

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