Certain Integral Transform and Fractional Integral Formulas for the Generalized Gauss Hypergeometric Functions

Certain Integral Transform and Fractional Integral Formulas for the Generalized Gauss Hypergeometric Functions

A remarkably large number of integral transforms and fractional integral formulas involving various special functions have been investigated by many authors. Very recently, Agarwal gave some integral transforms and fractional integral formulas involving the Fp(α,β)(·). In this sequel, using the same...

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Main Authors: Junesang Choi, Praveen Agarwal
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/735946
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spelling doaj-0f2e3d5f0c4848f882318d6fea08ac662020-11-24T23:14:33ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/735946735946Certain Integral Transform and Fractional Integral Formulas for the Generalized Gauss Hypergeometric FunctionsJunesang Choi0Praveen Agarwal1Department of Mathematics, Dongguk University, Gyeongju 780-714, Republic of KoreaDepartment of Mathematics, Anand International College of Engineering, Jaipur, Near Kanota, Agra Road, Bassi, Jaipur 303012, IndiaA remarkably large number of integral transforms and fractional integral formulas involving various special functions have been investigated by many authors. Very recently, Agarwal gave some integral transforms and fractional integral formulas involving the Fp(α,β)(·). In this sequel, using the same technique, we establish certain integral transforms and fractional integral formulas for the generalized Gauss hypergeometric functions Fp(α,β,m)(·). Some interesting special cases of our main results are also considered.http://dx.doi.org/10.1155/2014/735946
collection DOAJ
language English
format Article
sources DOAJ
author Junesang Choi
Praveen Agarwal
spellingShingle Junesang Choi
Praveen Agarwal
Certain Integral Transform and Fractional Integral Formulas for the Generalized Gauss Hypergeometric Functions
Abstract and Applied Analysis
author_facet Junesang Choi
Praveen Agarwal
author_sort Junesang Choi
title Certain Integral Transform and Fractional Integral Formulas for the Generalized Gauss Hypergeometric Functions
title_short Certain Integral Transform and Fractional Integral Formulas for the Generalized Gauss Hypergeometric Functions
title_full Certain Integral Transform and Fractional Integral Formulas for the Generalized Gauss Hypergeometric Functions
title_fullStr Certain Integral Transform and Fractional Integral Formulas for the Generalized Gauss Hypergeometric Functions
title_full_unstemmed Certain Integral Transform and Fractional Integral Formulas for the Generalized Gauss Hypergeometric Functions
title_sort certain integral transform and fractional integral formulas for the generalized gauss hypergeometric functions
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description A remarkably large number of integral transforms and fractional integral formulas involving various special functions have been investigated by many authors. Very recently, Agarwal gave some integral transforms and fractional integral formulas involving the Fp(α,β)(·). In this sequel, using the same technique, we establish certain integral transforms and fractional integral formulas for the generalized Gauss hypergeometric functions Fp(α,β,m)(·). Some interesting special cases of our main results are also considered.
url http://dx.doi.org/10.1155/2014/735946
work_keys_str_mv AT junesangchoi certainintegraltransformandfractionalintegralformulasforthegeneralizedgausshypergeometricfunctions
AT praveenagarwal certainintegraltransformandfractionalintegralformulasforthegeneralizedgausshypergeometricfunctions
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