A theorem on generating functions and its applications
type: Item
instance of: scholarly article
title: A theorem on generating functions and its applications
zbMATH Open document ID: 0672.33004
DOI: 10.1016/0893-9659(90)90070-R
author: Rekha Srivastava
published in: Applied Mathematics Letters
publication date: 1990-01-01T00:00:00Z
review text: Motivated by several recently demonstrated applications of a theorem on generating functions in (for example) the derivation of a number of interesting expansions for the generalized hypergeometric \({}_ rF_ s\) function in series of Bessel functions [see \textit{H. M. Srivastava} and \textit{R. M. Shreshtha}, Q. Appl. Math. 46, No. 3, 451--458 (1988; Zbl 0636.33004)], the author presents here a generalization of the theorem and briefly indicates how the general result and its several consequences can also be applied in various directions.
reviewed by: Rekha Srivastava
Mathematics Subject Classification ID: 33C20
Mathematics Subject Classification ID: 33C45
zbMATH DE Number: 4099675
zbMATH Keywords: generating functions
MaRDI profile type: Publication
cites work: Some Generating Functions for Laguerre and Hermite Polynomials
cites work: Operational formulas connected with two generalizations of Hermite polynomials
cites work: A New Class of Orthogonal Polynomials: The Bessel Polynomials
cites work: Q5508372
cites work: Q3319049
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cites work: Some expansions in series of Bessel functions
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full work available at URL: 0893-9659(90)90070-r
OpenAlex ID: W2076084099
description: scientific article; zbMATH DE number 4099675