Properties and Applications of a New Extended Gamma Function Involving Confluent Hypergeometric Function | Zendy

Abdus Saboor | Zendy; Gauhar Rahman | Zendy; Hazrat Ali | Zendy; Kottakkaran Sooppy Nisar | Zendy; Thabet Abdeljawad | Zendy

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Properties and Applications of a New Extended Gamma Function Involving Confluent Hypergeometric Function

Author(s) -

Abdus Saboor,

Gauhar Rahman,

Hazrat Ali,

Kottakkaran Sooppy Nisar,

Thabet Abdeljawad

Publication year - 2021

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2021/2491248

Subject(s) - mathematics , gamma function , hypergeometric function , confluent hypergeometric function , generalized hypergeometric function , basic hypergeometric series , pure mathematics , function (biology) , lauricella hypergeometric series , hypergeometric function of a matrix argument , algebra over a field , evolutionary biology , biology

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.

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