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

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

doi:10.1155/2021/2491248

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

Abdus Saboor
, Gauhar Rahman
, Hazrat Ali
, Kottakkaran Sooppy Nisar
, Thabet Abdeljawad

Mathematics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

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.

Original language	English
Article number	2491248
Journal	Journal of Mathematics
Volume	2021
DOIs	https://doi.org/10.1155/2021/2491248
State	Published - 2021

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title = "Properties and Applications of a New Extended Gamma Function Involving Confluent Hypergeometric Function",

abstract = "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.",

author = "Abdus Saboor and Gauhar Rahman and Hazrat Ali and Nisar, \{Kottakkaran Sooppy\} and Thabet Abdeljawad",

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AU - Rahman, Gauhar

AU - Ali, Hazrat

AU - Nisar, Kottakkaran Sooppy

AU - Abdeljawad, Thabet

PY - 2021

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AB - 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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U2 - 10.1155/2021/2491248

DO - 10.1155/2021/2491248

M3 - Article

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SN - 2314-4629

VL - 2021

JO - Journal of Mathematics

JF - Journal of Mathematics

M1 - 2491248

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

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