Generating functions of Pollaczek polynomials: a revisit

DOI10.1080/10652469.2019.1636373zbMath1431.33013OpenAlexW2955505364WikidataQ127594924 ScholiaQ127594924MaRDI QIDQ5198061

Min-Jie Luo, Ravinder Krishen Raina

Publication date: 2 October 2019

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2019.1636373

zbMATH Keywords

Pollaczek polynomialintegral representationgenerating functionAppell hypergeometric functionconnection formula

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Generalized hypergeometric series, ({}_pF_q) (33C20) Classical hypergeometric functions, ({}_2F_1) (33C05) Appell, Horn and Lauricella functions (33C65)

Related Items (2)

Certain results on generating functions related to the associated Meixner-Pollaczek polynomials ⋮ Two inequalities for the associated Pollaczek polynomials

Uses Software

• DLMF

Cites Work

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• Integral representations for the Dirichlet L-functions and their expansions in Meixner–Pollaczek polynomials and rising factorials†
• A Property of Mellin Transforms
• Some connection and linearization problems for polynomials in and beyond the Askey scheme

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