Properties and applications of a new extended gamma function involving confluent hypergeometric function
type: Item
instance of: scholarly article
title: Properties and applications of a new extended gamma function involving confluent hypergeometric function
zbMATH Open document ID: 1477.33006
DOI: 10.1155/2021/2491248
author: Abdus Saboor
author: Gauhar Rahman
author: Hazrat Ali
author: Thabet Abdeljawad
author: K. S. Nisar
published in: Journal of Mathematics
publication date: 2021-06-23T00:00:00Z
review text: Summary: In this paper, a new confluent hypergeometric gamma function and an associated confluent hypergeometric Pochhammer symbol are introduced. We discuss some properties, for instance, their different integral representations, derivative formulas, and generating function relations. Different special cases are also considered.
Mathematics Subject Classification ID: 33B15
Mathematics Subject Classification ID: 33C05
zbMATH DE Number: 7362401
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/2491248
OpenAlex ID: W3133253660
cites work: A certain generalized Pochhammer symbol and its applications to hypergeometric functions
cites work: A new extension of the Pochhammer symbol and its application to hypergeometric functions
cites work: The incomplete Pochhammer symbols and their applications to hypergeometric and related functions
cites work: A new generalization of Pochhammer symbol and its applications
cites work: Q3267566
cites work: Q5889613
cites work: Q3661894
cites work: Q3135816
cites work: Generalized incomplete gamma functions with applications
cites work: Q4438538
cites work: Q5515568
cites work: Q3999269
cites work: Q4222737
cites work: Q5820721
cites work: Q3319049
description: scientific article; zbMATH DE number 7362401