On Transformation Involving Basic Analogue of Multivariable H-Function
In this article, fractional order q-integrals and q-derivatives involving a basic analogue of multivariable H-function have been obtained. We give an application concerning the basic analogue of multivariable H-function and q-extension of the Leibniz rule for the fractional q-derivative for a produc...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/2616043 |
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| _version_ | 1832561407581749248 |
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| author | Dinesh Kumar Frédéric Ayant Jessada Tariboon |
| author_facet | Dinesh Kumar Frédéric Ayant Jessada Tariboon |
| author_sort | Dinesh Kumar |
| collection | DOAJ |
| description | In this article, fractional order q-integrals and q-derivatives involving a basic analogue of multivariable H-function have been obtained. We give an application concerning the basic analogue of multivariable H-function and q-extension of the Leibniz rule for the fractional q-derivative for a product of two basic functions. We also give the corollary concerning basic analogue of multivariable Meijer’s G-function as a particular case of the main result. |
| format | Article |
| id | doaj-art-11a7de6d3fc9420ab09e48a1644be525 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-11a7de6d3fc9420ab09e48a1644be5252025-02-03T01:24:57ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/26160432616043On Transformation Involving Basic Analogue of Multivariable H-FunctionDinesh Kumar0Frédéric Ayant1Jessada Tariboon2Department of Applied Sciences, College of Agriculture, Sumerpur-Pali, Agriculture University of Jodhpur, Jodhpur 342007, Raj, IndiaCollege Jean L’herminier, Allée des Nymph eas, 83500 La Seyne-sur-Mer, FranceIntelligent and Nonlinear Dynamic Innovations Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, ThailandIn this article, fractional order q-integrals and q-derivatives involving a basic analogue of multivariable H-function have been obtained. We give an application concerning the basic analogue of multivariable H-function and q-extension of the Leibniz rule for the fractional q-derivative for a product of two basic functions. We also give the corollary concerning basic analogue of multivariable Meijer’s G-function as a particular case of the main result.http://dx.doi.org/10.1155/2020/2616043 |
| spellingShingle | Dinesh Kumar Frédéric Ayant Jessada Tariboon On Transformation Involving Basic Analogue of Multivariable H-Function Journal of Function Spaces |
| title | On Transformation Involving Basic Analogue of Multivariable H-Function |
| title_full | On Transformation Involving Basic Analogue of Multivariable H-Function |
| title_fullStr | On Transformation Involving Basic Analogue of Multivariable H-Function |
| title_full_unstemmed | On Transformation Involving Basic Analogue of Multivariable H-Function |
| title_short | On Transformation Involving Basic Analogue of Multivariable H-Function |
| title_sort | on transformation involving basic analogue of multivariable h function |
| url | http://dx.doi.org/10.1155/2020/2616043 |
| work_keys_str_mv | AT dineshkumar ontransformationinvolvingbasicanalogueofmultivariablehfunction AT fredericayant ontransformationinvolvingbasicanalogueofmultivariablehfunction AT jessadatariboon ontransformationinvolvingbasicanalogueofmultivariablehfunction |