Eulerian integral formulas and associated fractional integration
type: Item
instance of: scholarly article
zbMATH Open document ID: 0996.33011
author: Mridula Purohit
author: Mridula Garg
publication date: 2002-11-07T00:00:00Z
Mathematics Subject Classification ID: 33C60
Mathematics Subject Classification ID: 26A33
zbMATH DE Number: 1618336
zbMATH Keywords: Eulerian integral
zbMATH Keywords: multivariable polynomials
zbMATH Keywords: multivariable \(H\)-function
zbMATH Keywords: fractional integration
MaRDI profile type: Publication
title: Eulerian integral formulas and associated fractional integration
published in: Tamkang Journal of Mathematics
review text: The paper under review evaluates certain Eulerian type integrals which makes use of the familiar formula NEWLINE\[NEWLINE\int(x-a)^{\rho-1}(b-x)^{\sigma-1}dx= {\Gamma(\rho) \Gamma(\sigma) \over\Gamma (\rho+ \sigma)}(b-a)^{\rho +\sigma-1}, NEWLINE\]NEWLINE NEWLINE\[NEWLINE\bigl(\text{Re} (\rho)>0;\;\text{Re}(sigma) >0;\;a\neq b\bigr).NEWLINE\]NEWLINE Several product combinations are involved in the integrand which include multivariable polynomial system [\textit{H. M. Srivastava}, Pac. J. Math. 117, 183-191 (1985; Zbl 0533.33003)] and the well known \(H\)-function of several variables. The results are quite involved and loaded with parameters, and therefore are not cited here.
reviewed by: Ravinder Krishna Raina
description: scientific article; zbMATH DE number 1618336