Generating Functions for Some Hypergeometric Functions of Four Variables via Laplace Integral Representations

Generating functions plays an essential role in the investigation of several useful properties of the sequences which they generate. In this paper, we establish certain generating relations, involving some quadruple hypergeometric functions introduced by Bin-Saad and Younis. Some interesting special...

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Main Authors: Jihad Younis, Maged Bin-Saad, Ashish Verma
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2021/7638597
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author Jihad Younis
Maged Bin-Saad
Ashish Verma
author_facet Jihad Younis
Maged Bin-Saad
Ashish Verma
author_sort Jihad Younis
collection DOAJ
description Generating functions plays an essential role in the investigation of several useful properties of the sequences which they generate. In this paper, we establish certain generating relations, involving some quadruple hypergeometric functions introduced by Bin-Saad and Younis. Some interesting special cases of our main results are also considered.
format Article
id doaj-art-644b1835a2de416eadd4354b376430fa
institution Kabale University
issn 2314-8896
2314-8888
language English
publishDate 2021-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces
spelling doaj-art-644b1835a2de416eadd4354b376430fa2025-02-03T07:23:53ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/76385977638597Generating Functions for Some Hypergeometric Functions of Four Variables via Laplace Integral RepresentationsJihad Younis0Maged Bin-Saad1Ashish Verma2Department of Mathematics, Aden University, Aden, Khormaksar, P.O. Box 6014, YemenDepartment of Mathematics, Aden University, Aden, Khormaksar, P.O. Box 6014, YemenDepartment of Mathematics, V. B. S. Purvanchal University, Jaunpur, (U.P) 222003, IndiaGenerating functions plays an essential role in the investigation of several useful properties of the sequences which they generate. In this paper, we establish certain generating relations, involving some quadruple hypergeometric functions introduced by Bin-Saad and Younis. Some interesting special cases of our main results are also considered.http://dx.doi.org/10.1155/2021/7638597
spellingShingle Jihad Younis
Maged Bin-Saad
Ashish Verma
Generating Functions for Some Hypergeometric Functions of Four Variables via Laplace Integral Representations
Journal of Function Spaces
title Generating Functions for Some Hypergeometric Functions of Four Variables via Laplace Integral Representations
title_full Generating Functions for Some Hypergeometric Functions of Four Variables via Laplace Integral Representations
title_fullStr Generating Functions for Some Hypergeometric Functions of Four Variables via Laplace Integral Representations
title_full_unstemmed Generating Functions for Some Hypergeometric Functions of Four Variables via Laplace Integral Representations
title_short Generating Functions for Some Hypergeometric Functions of Four Variables via Laplace Integral Representations
title_sort generating functions for some hypergeometric functions of four variables via laplace integral representations
url http://dx.doi.org/10.1155/2021/7638597
work_keys_str_mv AT jihadyounis generatingfunctionsforsomehypergeometricfunctionsoffourvariablesvialaplaceintegralrepresentations
AT magedbinsaad generatingfunctionsforsomehypergeometricfunctionsoffourvariablesvialaplaceintegralrepresentations
AT ashishverma generatingfunctionsforsomehypergeometricfunctionsoffourvariablesvialaplaceintegralrepresentations