Fourier transform and distributional representation of the gamma function leading to some new identities
type: Item
instance of: scholarly article
title: Fourier transform and distributional representation of the gamma function leading to some new identities
zbMATH Open document ID: 1128.46303
DOI: 10.1155/S016117120430743X
author: M. Aslam Chaudhry
author: Asghar Qadir
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2005-05-25T00:00:00Z
full work available at URL: https://eudml.org/doc/53666
review text: Summary: We present a Fourier transform representation of the gamma functions, which leads naturally to a distributional representation for them. Both of these representations lead to new identities for the integrals of gamma functions multiplied by other functions, which are also presented here. Editor's remark: Definitions of (incomplete) gamma functions as distributions were given by \textit{Brian Fisher} and co-workers [see, e.g., Rostocker Math. Kolloq. 31, 4--10 (1987; Zbl 0627.33001); J. Math., Punjab Univ. 31, 1--12 (1998; Zbl 0965.46030)]. The present paper does not cite these works.
Mathematics Subject Classification ID: 46F12
Mathematics Subject Classification ID: 33B15
zbMATH DE Number: 2171573
zbMATH Keywords: Fourier transform representation for gamma functions
zbMATH Keywords: gamma functions in the distributional sense
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2171573