Several euler-type integrals involving exton’s quadruple hy-pergeometric series

Jihad Ahmed Younis; Kottakkaran Sooppy Nisar

doi:10.22436/jmcs.021.04.02

Several euler-type integrals involving exton’s quadruple hy-pergeometric series

Jihad Ahmed Younis
, Kottakkaran Sooppy Nisar

Mathematics

University of Aden

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

Abstract

The quadruple hypergeometric functions are introduced by H. Exton and their various applications are studied by many authors. In this line, we introduce new integral representations of Euler-type for certain Exton’s hypergeometric functions of four variables.

Original language	English
Pages (from-to)	286-295
Number of pages	10
Journal	Journal of Mathematics and Computer Science
Volume	21
Issue number	4
DOIs	https://doi.org/10.22436/jmcs.021.04.02
State	Published - 2020

Keywords

Beta and gamma functions
Euler integrals
Exton’s hypergeometric functions of four variables
Horn’s functions
Triple hypergeometric functions

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10.22436/jmcs.021.04.02

Cite this

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title = "Several euler-type integrals involving exton{\textquoteright}s quadruple hy-pergeometric series",

abstract = "The quadruple hypergeometric functions are introduced by H. Exton and their various applications are studied by many authors. In this line, we introduce new integral representations of Euler-type for certain Exton{\textquoteright}s hypergeometric functions of four variables.",

keywords = "Beta and gamma functions, Euler integrals, Exton{\textquoteright}s hypergeometric functions of four variables, Horn{\textquoteright}s functions, Triple hypergeometric functions",

author = "Younis, \{Jihad Ahmed\} and Nisar, \{Kottakkaran Sooppy\}",

year = "2020",

doi = "10.22436/jmcs.021.04.02",

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AU - Younis, Jihad Ahmed

AU - Nisar, Kottakkaran Sooppy

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AB - The quadruple hypergeometric functions are introduced by H. Exton and their various applications are studied by many authors. In this line, we introduce new integral representations of Euler-type for certain Exton’s hypergeometric functions of four variables.

KW - Beta and gamma functions

KW - Euler integrals

KW - Exton’s hypergeometric functions of four variables

KW - Horn’s functions

KW - Triple hypergeometric functions

UR - https://www.scopus.com/pages/publications/85085548252

U2 - 10.22436/jmcs.021.04.02

DO - 10.22436/jmcs.021.04.02

M3 - Article

AN - SCOPUS:85085548252

SN - 2008-949X

VL - 21

SP - 286

EP - 295

JO - Journal of Mathematics and Computer Science

JF - Journal of Mathematics and Computer Science

IS - 4

ER -

Several euler-type integrals involving exton’s quadruple hy-pergeometric series

Abstract

Keywords

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