Probabilistic derivation of some generating functions for the Laguerre polynomials
type: Item
instance of: scholarly article
title: Probabilistic derivation of some generating functions for the Laguerre polynomials
zbMATH Open document ID: 0939.33006
DOI: 10.1016/S0898-1221(99)00234-5
author: Poh-Aun Lee
author: Seng-Huat Ong
author: H. M. Srivastava
publication date: 2000-07-12T00:00:00Z
review text: A well-known generating function of the classical Laguerre polynomials was recently rederived probabilistically by \textit{P.-A. Lee} [Bull. Inst. Math., Acad. Sin. 25, No. 2, 151-154 (1997; Zbl 0884.60018)]. In this paper some other (presumably new) generating functions for the Laguerre polynomials are derived by means of probabilistic considerations. A direct (analytical) proof of each of these generating functions is also presented for the sake of completeness.
Mathematics Subject Classification ID: 33C45
Mathematics Subject Classification ID: 60E05
Mathematics Subject Classification ID: 33D15
zbMATH DE Number: 1429528
reviewed by: H. M. Srivastava
MaRDI profile type: Publication
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full work available at URL: s0898-1221(99)00234-5
OpenAlex ID: W1985434661
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 1429528