Simultaneous operational calculus involving a product of a general class of polynomials, Fox's \(H\)-function and the multivariable \(H\)-function
type: Item
instance of: scholarly article
title: Simultaneous operational calculus involving a product of a general class of polynomials, Fox's \(H\)-function and the multivariable \(H\)-function
zbMATH Open document ID: 0772.33008
DOI: 10.1007/BF02837897
author: Girdhari Lal
author: V. B. L. Chaurasia
published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences
publication date: 1993-10-07T00:00:00Z
review text: The authors evaluate an integral involving a general polynomial in one variable, a series form of an \(H\)-function of one variable and an \(H\)- function of several variables. The authors call it a bivariate Laplace transform. This integral cannot be called a bivariate Laplace transform. The series form used for the \(H\)-functions is valid only for a particular case of simple poles, which is not mentioned. The bivariate variables \(x\) and \(y\) appear in these functions as a scaling factor in the form \(xy\) and thus the presence of an \(H\)-function of several varibles etc. serves the purpose of the result looking complicated. The result obtained is simply an integral which will be valid under several additional conditions to be stated. Note also that the functions involved are also defined outside the first quadrant.
Mathematics Subject Classification ID: 33C60
Mathematics Subject Classification ID: 33C70
Mathematics Subject Classification ID: 33C50
zbMATH DE Number: 179563
zbMATH Keywords: \(H\)-function of many variables
reviewed by: Arakaparampil M. Mathai
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 179563