Some properties concerning the analysis of generalized Wright function
type: Item
instance of: scholarly article
title: Some properties concerning the analysis of generalized Wright function
zbMATH Open document ID: 1436.33002
author: M. Aman
author: N. U. Khan
author: T. Usman
published in: Journal of Computational and Applied Mathematics
publication date: 2020-04-15T00:00:00Z
review text: The Bessel-Maitland function, also called the Wright generalized Bessel function, is defined by \(W_{\alpha ,\beta } (z)=\sum _{n=0}^{\infty }\frac{z^{n} }{n!\Gamma (\alpha n+\beta )} \quad (\beta \in \mathrm{C},\; Re\, \alpha >-1)\). Various generalizations exist, for example, \(W_{\alpha ,\beta }^{\gamma ,\delta } (z)=\sum _{n=0}^{\infty }\frac{z^{n} (\gamma )_{n} }{n!(\delta )_{n} \Gamma (\alpha n+\beta )} \quad \left((a)_{n} =\frac{\Gamma (a+n)}{\Gamma (a)} \right)\). In this paper the authors give a further generalization of this function and provide some properties and applications.
Mathematics Subject Classification ID: 33B15
Mathematics Subject Classification ID: 44A15
zbMATH DE Number: 7189435
zbMATH Keywords: Write function
zbMATH Keywords: Fox-Write function
zbMATH Keywords: Mellin transform
reviewed by: Khristo N. Boyadzhiev
MaRDI profile type: Publication
full work available at URL: j.cam.2020.112840
OpenAlex ID: W3013678354
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DOI: 10.1016/J.CAM.2020.112840
description: scientific article; zbMATH DE number 7189435