Summation formulas associated with the Lauricella function \(F_A^{(\tau)}\)
type: Item
instance of: scholarly article
title: Summation formulas associated with the Lauricella function \(F_A^{(\tau)}\)
zbMATH Open document ID: 0940.33006
DOI: 10.1016/S0893-9659(99)00146-9
author: P. A. Padmanabham
author: H. M. Srivastava
published in: Applied Mathematics Letters
publication date: 2000-06-04T00:00:00Z
review text: The authors make use of some rather elementary techniques in order to derive several summation formulas associated with Lauricella's hypergeometric function \(F^{(r)}_A\) in \(r\) variables (and also with its familiar generalizations). A number of (known or new) consequences of these summation formulas are also considered.
Mathematics Subject Classification ID: 33C65
Mathematics Subject Classification ID: 33C45
Mathematics Subject Classification ID: 44A10
zbMATH DE Number: 1429491
zbMATH Keywords: Lauricella functions
zbMATH Keywords: multiple hypergeometric functions
zbMATH Keywords: Appell functions
zbMATH Keywords: Laguerre polynomials
zbMATH Keywords: confluent hypergeometric function
zbMATH Keywords: Gauss hypergeometric function
zbMATH Keywords: Cauchy product
zbMATH Keywords: Laplace transforms
zbMATH Keywords: generating functions
reviewed by: H. M. Srivastava
MaRDI profile type: Publication
cites work: Q3345085
cites work: Generating Functions for Bessel and Related Polynomials
cites work: Q4057485
cites work: Q5552246
cites work: A note on the generalization of the summation formulas for Appell's and Kampé de Fériet's hypergeometric functions
cites work: Q3877963
cites work: Q3700058
cites work: Q3319049
Recommended article: Summation formulae involving the Laguerre polynomial
Recommended article: Q4215251
Recommended article: Q5749564
Recommended article: Summation Formulae for Coefficients of L-functions
Recommended article: Q3459406
Recommended article: Q3585948
Recommended article: Q3502574
Recommended article: Q5695160
Recommended article: Some summation formulas for the Appell's function \(F_1\)
Recommended article: Q4246128
description: scientific article; zbMATH DE number 1429491