Some generating functions for the Laguerre and related polynomials
type: Item
instance of: scholarly article
title: Some generating functions for the Laguerre and related polynomials
zbMATH Open document ID: 1020.33003
DOI: 10.1016/S0096-3003(99)00007-7
author: Poh-Aun Lee
author: Seng-Huat Ong
author: H. M. Srivastava
published in: Applied Mathematics and Computation
publication date: 2000-06-25T00:00:00Z
review text: Here the authors investigate (and present generalisations of) several generating functions of the classical Laguerre and related polynomials. One of these generating functions was recently rederived probabilistically by \textit{P.-A. Lee} [Bull. Inst. Math. Acad. Sin. 25, 151-154 (1997; Zbl 0884.60018)], who made use of the theory of a class of probability distributions known as the non-central negative binomial distrtibution. \(q\)-extensions of the main series identities are also considered.
reviewed by: Som Prakash Goyal
Mathematics Subject Classification ID: 33C45
Mathematics Subject Classification ID: 33C20
Mathematics Subject Classification ID: 33D15
zbMATH DE Number: 1464499
zbMATH Keywords: Laguerre polynomials
zbMATH Keywords: hypergeometric functions
zbMATH Keywords: \(q\)-hypergeometric functions
zbMATH Keywords: Heine's transformations
zbMATH Keywords: \(q\)-series identities
MaRDI profile type: Publication
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full work available at URL: s0096-3003(99)00007-7
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description: scientific article; zbMATH DE number 1464499