Meixner multiple orthogonal polynomials on interlacing lattices

DOI10.1134/s0001434624030374zbMATH Open1545.33006MaRDI QIDQ6569646

A. I. Aptekarev, A. V. Dyachenko, V. G. Lysov

Publication date: 9 July 2024

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

zbMATH Keywords

Meixner polynomialsperfect systemsmultiple discrete orthogonal polynomialsnormality of indices

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Gamma, beta and polygamma functions (33B15)

Cites Work

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• Cyclic graphs and Apéry's theorem
• Hermite-Padé approximants to the Weyl function and its derivative for discrete measures
• Self-adjoint Jacobi matrices on trees and multiple orthogonal polynomials
• Hermite-Padé approximations and multiple orthogonal polynomial ensembles

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