On Decomposition Formulas Related to the Gaussian Hypergeometric Functions in Three Variables

In this paper, by using certain inverse pairs of symbolic operators introduced by Choi and Hasanov in 2011, we establish several decomposition formulas associated with the Gaussian triple hypergeometric functions. Some transformation formulas for these functions have also been obtained.

Bibliographic Details
Main Authors: Anvar Hasanov, Jihad Younis, Hassen Aydi
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2021/5538583
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spelling doaj-1a6948fbdcfb48358f25e4befa1b84cd2021-03-29T00:09:15ZengHindawi LimitedJournal of Function Spaces2314-88882021-01-01202110.1155/2021/5538583On Decomposition Formulas Related to the Gaussian Hypergeometric Functions in Three VariablesAnvar Hasanov0Jihad Younis1Hassen Aydi2Institute of MathematicsDepartment of MathematicsUniversité de SousseIn this paper, by using certain inverse pairs of symbolic operators introduced by Choi and Hasanov in 2011, we establish several decomposition formulas associated with the Gaussian triple hypergeometric functions. Some transformation formulas for these functions have also been obtained.http://dx.doi.org/10.1155/2021/5538583
collection DOAJ
language English
format Article
sources DOAJ
author Anvar Hasanov
Jihad Younis
Hassen Aydi
spellingShingle Anvar Hasanov
Jihad Younis
Hassen Aydi
On Decomposition Formulas Related to the Gaussian Hypergeometric Functions in Three Variables
Journal of Function Spaces
author_facet Anvar Hasanov
Jihad Younis
Hassen Aydi
author_sort Anvar Hasanov
title On Decomposition Formulas Related to the Gaussian Hypergeometric Functions in Three Variables
title_short On Decomposition Formulas Related to the Gaussian Hypergeometric Functions in Three Variables
title_full On Decomposition Formulas Related to the Gaussian Hypergeometric Functions in Three Variables
title_fullStr On Decomposition Formulas Related to the Gaussian Hypergeometric Functions in Three Variables
title_full_unstemmed On Decomposition Formulas Related to the Gaussian Hypergeometric Functions in Three Variables
title_sort on decomposition formulas related to the gaussian hypergeometric functions in three variables
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8888
publishDate 2021-01-01
description In this paper, by using certain inverse pairs of symbolic operators introduced by Choi and Hasanov in 2011, we establish several decomposition formulas associated with the Gaussian triple hypergeometric functions. Some transformation formulas for these functions have also been obtained.
url http://dx.doi.org/10.1155/2021/5538583
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AT jihadyounis ondecompositionformulasrelatedtothegaussianhypergeometricfunctionsinthreevariables
AT hassenaydi ondecompositionformulasrelatedtothegaussianhypergeometricfunctionsinthreevariables
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