$Some results on a fractional q-integral operator involving generalized basic hypergeometric function$

Some results on a fractional q-integral operator involving generalized basic hypergeometric function

In this paper the operator L(.) of the basic multiple hypergeometric function given by Yadav et al. is used in order to obtain the fractional q-integral operator L(.) of the generalized basic hypergeometric function rΦs(.), also the q-Mellin transformfor the operator L(.) is presented. Various inter...

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Bibliographic Details
Main Author:	Leda Galué
Format:	Article
Language:	English
Published:	Universidad del Zulia
Series:	Revista Técnica de la Facultad de Ingeniería
Subjects:	fractional q-integral operators generalized basic hypergeometric function q-mellin transform q-special functions
Online Access:	http://www.scielo.org.ve/scielo.php?script=sci_arttext&pid=S0254-07702012000300011&lng=en&tlng=en

id	doaj-1fd068369a1e4ce4bc9cbe552a327f3f
record_format	Article
spelling	doaj-1fd068369a1e4ce4bc9cbe552a327f3f2020-12-02T16:16:35ZengUniversidad del ZuliaRevista Técnica de la Facultad de Ingeniería0254-0770353302310S0254-07702012000300011Some results on a fractional q-integral operator involving generalized basic hypergeometric functionLeda Galué0Universidad del ZuliaIn this paper the operator L(.) of the basic multiple hypergeometric function given by Yadav et al. is used in order to obtain the fractional q-integral operator L(.) of the generalized basic hypergeometric function rΦs(.), also the q-Mellin transformfor the operator L(.) is presented. Various interesting special cases, involving q-special functions, have been derived as application of the main result.http://www.scielo.org.ve/scielo.php?script=sci_arttext&pid=S0254-07702012000300011&lng=en&tlng=enfractional q-integral operatorsgeneralized basic hypergeometric functionq-mellin transformq-special functions
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Leda Galué
spellingShingle	Leda Galué Some results on a fractional q-integral operator involving generalized basic hypergeometric function Revista Técnica de la Facultad de Ingeniería fractional q-integral operators generalized basic hypergeometric function q-mellin transform q-special functions
author_facet	Leda Galué
author_sort	Leda Galué
title	Some results on a fractional q-integral operator involving generalized basic hypergeometric function
title_short	Some results on a fractional q-integral operator involving generalized basic hypergeometric function
title_full	Some results on a fractional q-integral operator involving generalized basic hypergeometric function
title_fullStr	Some results on a fractional q-integral operator involving generalized basic hypergeometric function
title_full_unstemmed	Some results on a fractional q-integral operator involving generalized basic hypergeometric function
title_sort	some results on a fractional q-integral operator involving generalized basic hypergeometric function
publisher	Universidad del Zulia
series	Revista Técnica de la Facultad de Ingeniería
issn	0254-0770
description	In this paper the operator L(.) of the basic multiple hypergeometric function given by Yadav et al. is used in order to obtain the fractional q-integral operator L(.) of the generalized basic hypergeometric function rΦs(.), also the q-Mellin transformfor the operator L(.) is presented. Various interesting special cases, involving q-special functions, have been derived as application of the main result.
topic	fractional q-integral operators generalized basic hypergeometric function q-mellin transform q-special functions
url	http://www.scielo.org.ve/scielo.php?script=sci_arttext&pid=S0254-07702012000300011&lng=en&tlng=en
work_keys_str_mv	AT ledagalue someresultsonafractionalqintegraloperatorinvolvinggeneralizedbasichypergeometricfunction
_version_	1724405076352565248

Some results on a fractional q-integral operator involving generalized basic hypergeometric function

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