Some families of generating functions associated with the Stirling numbers of the second kind
type: Item
instance of: scholarly article
title: Some families of generating functions associated with the Stirling numbers of the second kind
zbMATH Open document ID: 0972.33005
published in: Journal of Mathematical Analysis and Applications
publication date: 2001-04-01T00:00:00Z
review text: Here the author first derives a general result on generating functions associated with the Stirling numbers \(S(n,k)\) of the second kind. The main result contained in Theorem 1 is then applied to obtain generating functions for a considerably large variety of special functions and polynomials. The relevant connections of some of these families of generating functions with various known results are indicated and multivariate extensions of the main result are also investigated.
reviewed by: Som Prakash Goyal
Mathematics Subject Classification ID: 33C45
Mathematics Subject Classification ID: 33C70
Mathematics Subject Classification ID: 11B73
zbMATH DE Number: 1556943
zbMATH Keywords: Stirling numbers
zbMATH Keywords: Jacobi polynomials
zbMATH Keywords: generalized hypergeometric functions
zbMATH Keywords: Lauricella polynomials
zbMATH Keywords: Lagrange polynomials
zbMATH Keywords: generating functions
author: H. M. Srivastava
MaRDI profile type: Publication
full work available at URL: jmaa.2000.7049
OpenAlex ID: W2014167511
cites work: Q5847356
cites work: Some generalizations of the Euler-Knopp transformation
cites work: Biorthogonal polynomials suggested by the Laguerre polynomials
cites work: Q3697367
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cites work: Some biorthogonal polynomials suggested by the Laguerre polynomials
cites work: Q3319049
cites work: A class of polynomials defined by generalized Rodrigues' formula
cites work: Q4767580
DOI: 10.1006/JMAA.2000.7049
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description: scientific article; zbMATH DE number 1556943