An Interesting Integral Involving Product of Two Generalized Hypergeometric Function

Harsh Vardhan Harsh; Medhat A. Rakha; Puneet Krishna Sharma; Arjun K. Rathie

doi:10.5269/bspm.51949

An Interesting Integral Involving Product of Two Generalized Hypergeometric Function

Harsh Vardhan Harsh, Medhat A. Rakha, Puneet Krishna Sharma, Arjun K. Rathie

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

Abstract

In this research note, an interesting integral involving hypergeometric function has been evaluated in terms of gamma function. It is further used to evaluate an integral involving product of two generalized hypergeometric functions. A few very interesting special cases have also been given

Original language	English
Journal	Boletim da Sociedade Paranaense de Matematica
Volume	40
DOIs	https://doi.org/10.5269/bspm.51949
Publication status	Published - 2022
Externally published	Yes

Keywords

Generalized Hypergeometric Function
Hypergeometric Function
MacRobert's Definite Integral
Watson Theorem

ASJC Scopus subject areas

Mathematics(all)

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10.5269/bspm.51949

Cite this

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title = "An Interesting Integral Involving Product of Two Generalized Hypergeometric Function",

abstract = "In this research note, an interesting integral involving hypergeometric function has been evaluated in terms of gamma function. It is further used to evaluate an integral involving product of two generalized hypergeometric functions. A few very interesting special cases have also been given",

keywords = "Generalized Hypergeometric Function, Hypergeometric Function, MacRobert's Definite Integral, Watson Theorem",

author = "Harsh, {Harsh Vardhan} and Rakha, {Medhat A.} and Sharma, {Puneet Krishna} and Rathie, {Arjun K.}",

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AU - Rakha, Medhat A.

AU - Sharma, Puneet Krishna

AU - Rathie, Arjun K.

PY - 2022

Y1 - 2022

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KW - Generalized Hypergeometric Function

KW - Hypergeometric Function

KW - MacRobert's Definite Integral

KW - Watson Theorem

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An Interesting Integral Involving Product of Two Generalized Hypergeometric Function

Abstract

Keywords

ASJC Scopus subject areas

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