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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Language: | English |
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Wiley
2021-01-01
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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 |