On the \(\omega\)-multiple Charlier polynomials

DOI10.1186/s13662-021-03278-zzbMath1494.33009OpenAlexW3165886060MaRDI QIDQ2166821

Gizem Baran, Mehmet Ali Özarslan

Publication date: 25 August 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-021-03278-z

zbMATH Keywords

generating functionRodrigues formulahypergeometric functionAppell polynomialsdifference equationmultiple orthogonal polynomials\(\omega\)-multiple Charlier polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Appell, Horn and Lauricella functions (33C65) Orthogonal polynomials and functions in several variables expressible in terms of basic hypergeometric functions in one variable (33D50)

Cites Work

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• Nearest neighbor recurrence relations for multiple orthogonal polynomials
• Some discrete \(d\)-orthogonal polynomial sets.
• Some discrete multiple orthogonal polynomials
• On the \(\omega \)-multiple Meixner polynomials of the first kind
• On the \(q\)-Charlier multiple orthogonal polynomials
• Difference equations for discrete classical multiple orthogonal polynomials
• On $q$-hypergeometric Bernoulli polynomials and numbers
• Asymptotics for the ratio and the zeros of multiple Charlier polynomials

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