Two dimensional Laplace transforms of generalized hypergeometric functions
type: Item
instance of: scholarly article
title: Two dimensional Laplace transforms of generalized hypergeometric functions
zbMATH Open document ID: 0638.44005
DOI: 10.1155/S0161171288000201
author: I. H. Jowhar
author: R. S. Dahiya
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1988-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/46262
review text: The object of the paper is to obtain new operational relations between the original and the image functions that involve Meijer's G-functions. With the help of a known result, the generalized Stieltjes transform of a G-function can be interpreted as a two-dimensional Laplace transform of a function involving the Meijer's G-function, which gives the two main results of the paper. For the possibility of expressing a large number of named special functions by means of the G-symbol, many new operational relations for MacRobert E-functions, Bessel, Legendre, Whittaker and other related generalized hypergeometric functions are duced from the main results by specializing parameters.
Mathematics Subject Classification ID: 44A30
Mathematics Subject Classification ID: 44A10
Mathematics Subject Classification ID: 33C60
zbMATH DE Number: 4040537
zbMATH Keywords: multiple transforms
zbMATH Keywords: Meijer's G-functions
zbMATH Keywords: generalized Stieltjes transform
zbMATH Keywords: two-dimensional Laplace transform
zbMATH Keywords: operational relations
zbMATH Keywords: MacRobert E-functions
zbMATH Keywords: generalized hypergeometric functions
MaRDI profile type: Publication
OpenAlex ID: W2102514748
description: scientific article; zbMATH DE number 4040537