A family of orthogonal polynomials corresponding to Jacobi matrices with a trace class inverse

DOI10.1016/j.jat.2022.105769OpenAlexW4225866269WikidataQ114164897 ScholiaQ114164897MaRDI QIDQ2139171

Pavel Šťovíček

Publication date: 17 May 2022

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.05350

zbMATH Keywords

orthogonal polynomialsJacobi matrix\(q\)-Laguerre polynomials

Mathematics Subject Classification ID

Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Other special orthogonal polynomials and functions (33C47) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Cites Work

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• The q-analogue of the Laguerre polynomials
• The zeros of basic Bessel functions, the functions J(nu+ax)(x), and associated orthogonal polynomials
• Orthogonal polynomials, associated polynomials and functions of the second kind
• Markov's theorem revisited
• On infinite Jacobi matrices with a trace class resolvent
• Hypergeometric Orthogonal Polynomials and Their q-Analogues

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