A unified presentation of the gamma-type functions occurring in diffraction theory and associated probability distributions
type: Item
instance of: scholarly article
title: A unified presentation of the gamma-type functions occurring in diffraction theory and associated probability distributions
zbMATH Open document ID: 1063.33004
author: R. K. Saxena
author: Chena Ram
author: H. M. Srivastava
published in: Applied Mathematics and Computation
publication date: 2005-02-23T00:00:00Z
review text: In this paper the authors consider special functions that are related to the incomplete gamma function. The systematic point of view is the representation in terms of the Fox-Wright hypergeometric function \(_p\Psi_q\). Properties of the functions considered are collected.
reviewed by: W. Koepf
Mathematics Subject Classification ID: 33C15
zbMATH DE Number: 2137727
zbMATH Keywords: Gamma and incomplete Gamma functions
zbMATH Keywords: generalized hypergeometric function
zbMATH Keywords: diffraction theory
zbMATH Keywords: Wiener-Hopf technique
zbMATH Keywords: probability density function
zbMATH Keywords: moment generating function
zbMATH Keywords: survival (or reliability) function
zbMATH Keywords: Hazard (or failure) rate function
zbMATH Keywords: mean residual life (or remaining life expectancy) function
MaRDI profile type: Publication
full work available at URL: j.amc.2003.12.133
OpenAlex ID: W2044869062
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DOI: 10.1016/J.AMC.2003.12.133
description: scientific article; zbMATH DE number 2137727