On transformations involving generalized basic hypergeometric function of two variables

In the present paper, transformations for basic analogue of the Fox”™s H-function of one and two variables have been derived by the application of the q-Leibniz rule for the product of two basic functions. Some special cases involving a basic analogue of Meijer”™s G-function are also derived....

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Main Authors: R. Yadav, S. Purohit, V. Vyas
Format: Article
Language:English
Published: Universidad del Zulia 2012-07-01
Series:Revista Técnica de la Facultad de Ingeniería
Subjects:
Online Access:https://www.produccioncientificaluz.org/index.php/tecnica/article/view/6696
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author R. Yadav
S. Purohit
V. Vyas
author_facet R. Yadav
S. Purohit
V. Vyas
author_sort R. Yadav
collection DOAJ
description In the present paper, transformations for basic analogue of the Fox”™s H-function of one and two variables have been derived by the application of the q-Leibniz rule for the product of two basic functions. Some special cases involving a basic analogue of Meijer”™s G-function are also derived.
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spelling doaj.art-ef32588e2234436f8948b8366f5effa02022-12-22T02:59:37ZengUniversidad del ZuliaRevista Técnica de la Facultad de Ingeniería0254-07702477-93772012-07-01332On transformations involving generalized basic hypergeometric function of two variablesR. Yadav0S. Purohit1V. Vyas2Jai Narai Vyas University-IndiaMaharana Pratap University of Agriculture and Technology-IndiaJai Narai Vyas University-IndiaIn the present paper, transformations for basic analogue of the Fox”™s H-function of one and two variables have been derived by the application of the q-Leibniz rule for the product of two basic functions. Some special cases involving a basic analogue of Meijer”™s G-function are also derived. https://www.produccioncientificaluz.org/index.php/tecnica/article/view/6696fractional q-derivative operatorq-Leibniz rulebasic analogue of Fox”™s H-function and basic Meijer”™s G-function
spellingShingle R. Yadav
S. Purohit
V. Vyas
On transformations involving generalized basic hypergeometric function of two variables
Revista Técnica de la Facultad de Ingeniería
fractional q-derivative operator
q-Leibniz rule
basic analogue of Fox”™s H-function and basic Meijer”™s G-function
title On transformations involving generalized basic hypergeometric function of two variables
title_full On transformations involving generalized basic hypergeometric function of two variables
title_fullStr On transformations involving generalized basic hypergeometric function of two variables
title_full_unstemmed On transformations involving generalized basic hypergeometric function of two variables
title_short On transformations involving generalized basic hypergeometric function of two variables
title_sort on transformations involving generalized basic hypergeometric function of two variables
topic fractional q-derivative operator
q-Leibniz rule
basic analogue of Fox”™s H-function and basic Meijer”™s G-function
url https://www.produccioncientificaluz.org/index.php/tecnica/article/view/6696
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