Pathway fractional integral operators of generalized k-wright function and k4-function

Pathway fractional integral operators of generalized k-wright function and k4-function

In the present work we introduce a composition formula of the pathway fractional integration operator with finite product of generalized K-Wright function and K4-function. The obtained results are in terms of generalized Wright function. Certain special cases of the main results given here are also...

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Main Authors: Dinesh Kumar, Ram Kishore Saxena, Jitendra Daiya
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2017-04-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Pathway fractional integral operator
Generalized K-Wright function
K4- function
Generalized M-series
Special Function
Fractional calculus
Online Access:http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/29180
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spelling doaj-4430e62adda34aa593b7fa6676b702e52020-11-24T23:09:18ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882017-04-0135223524610.5269/bspm.v35i2.2918013661Pathway fractional integral operators of generalized k-wright function and k4-functionDinesh Kumar0Ram Kishore SaxenaJitendra DaiyaJai Narain Vyas University, JodhpurIn the present work we introduce a composition formula of the pathway fractional integration operator with finite product of generalized K-Wright function and K4-function. The obtained results are in terms of generalized Wright function. Certain special cases of the main results given here are also considered to correspond with some known and new (presumably) pathway fractional integral formulas.http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/29180Pathway fractional integral operatorGeneralized K-Wright functionK4- functionGeneralized M-seriesSpecial FunctionFractional calculus
collection DOAJ
language English
format Article
sources DOAJ
author Dinesh Kumar
Ram Kishore Saxena
Jitendra Daiya
spellingShingle Dinesh Kumar
Ram Kishore Saxena
Jitendra Daiya
Pathway fractional integral operators of generalized k-wright function and k4-function
Boletim da Sociedade Paranaense de Matemática
Pathway fractional integral operator
Generalized K-Wright function
K4- function
Generalized M-series
Special Function
Fractional calculus
author_facet Dinesh Kumar
Ram Kishore Saxena
Jitendra Daiya
author_sort Dinesh Kumar
title Pathway fractional integral operators of generalized k-wright function and k4-function
title_short Pathway fractional integral operators of generalized k-wright function and k4-function
title_full Pathway fractional integral operators of generalized k-wright function and k4-function
title_fullStr Pathway fractional integral operators of generalized k-wright function and k4-function
title_full_unstemmed Pathway fractional integral operators of generalized k-wright function and k4-function
title_sort pathway fractional integral operators of generalized k-wright function and k4-function
publisher Sociedade Brasileira de Matemática
series Boletim da Sociedade Paranaense de Matemática
issn 0037-8712
2175-1188
publishDate 2017-04-01
description In the present work we introduce a composition formula of the pathway fractional integration operator with finite product of generalized K-Wright function and K4-function. The obtained results are in terms of generalized Wright function. Certain special cases of the main results given here are also considered to correspond with some known and new (presumably) pathway fractional integral formulas.
topic Pathway fractional integral operator
Generalized K-Wright function
K4- function
Generalized M-series
Special Function
Fractional calculus
url http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/29180
work_keys_str_mv AT dineshkumar pathwayfractionalintegraloperatorsofgeneralizedkwrightfunctionandk4function
AT ramkishoresaxena pathwayfractionalintegraloperatorsofgeneralizedkwrightfunctionandk4function
AT jitendradaiya pathwayfractionalintegraloperatorsofgeneralizedkwrightfunctionandk4function
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