Some results associated with a generalized basic hypergeometric function
In this paper, we define a q-extension of the new generalized hypergeometric function given by Saxena et al. in [13], and have investigated the properties of the above new function such as <em>q</em>-differentiation and <em>q</em>-integral representation. The results presente...
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| Format: | Article |
| Language: | English |
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Università degli Studi di Catania
2009-05-01
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| Series: | Le Matematiche |
| Subjects: | |
| Online Access: | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/240 |
| _version_ | 1828960858962657280 |
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| author | Rajeev K. Gupta Shireen Tabassum Amit Mathur |
| author_facet | Rajeev K. Gupta Shireen Tabassum Amit Mathur |
| author_sort | Rajeev K. Gupta |
| collection | DOAJ |
| description | In this paper, we define a q-extension of the new generalized hypergeometric function given by Saxena et al. in [13], and have investigated the properties of the above new function such as <em>q</em>-differentiation and <em>q</em>-integral representation. The results presented are of general character and the results given earlier by Saxena and Kalla in [14], Virchenko, Kalla and Al-Zamel in [15], Al-Musallam and Kalla in [2, 3], Kobayashi in [7, 8], Saxena et al. in [13], Kumbhat et al. in [11] follow as special cases.<br /> |
| first_indexed | 2024-12-14T09:34:44Z |
| format | Article |
| id | doaj.art-01d558ca4a414850bdbaed147e94a79a |
| institution | Directory Open Access Journal |
| issn | 0373-3505 2037-5298 |
| language | English |
| last_indexed | 2024-12-14T09:34:44Z |
| publishDate | 2009-05-01 |
| publisher | Università degli Studi di Catania |
| record_format | Article |
| series | Le Matematiche |
| spelling | doaj.art-01d558ca4a414850bdbaed147e94a79a2022-12-21T23:07:58ZengUniversità degli Studi di CataniaLe Matematiche0373-35052037-52982009-05-016411523217Some results associated with a generalized basic hypergeometric functionRajeev K. GuptaShireen TabassumAmit MathurIn this paper, we define a q-extension of the new generalized hypergeometric function given by Saxena et al. in [13], and have investigated the properties of the above new function such as <em>q</em>-differentiation and <em>q</em>-integral representation. The results presented are of general character and the results given earlier by Saxena and Kalla in [14], Virchenko, Kalla and Al-Zamel in [15], Al-Musallam and Kalla in [2, 3], Kobayashi in [7, 8], Saxena et al. in [13], Kumbhat et al. in [11] follow as special cases.<br />http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/240Generalized basic hypergeometric functionsq-integral representationq-gamma functionq-differentiation |
| spellingShingle | Rajeev K. Gupta Shireen Tabassum Amit Mathur Some results associated with a generalized basic hypergeometric function Le Matematiche Generalized basic hypergeometric functions q-integral representation q-gamma function q-differentiation |
| title | Some results associated with a generalized basic hypergeometric function |
| title_full | Some results associated with a generalized basic hypergeometric function |
| title_fullStr | Some results associated with a generalized basic hypergeometric function |
| title_full_unstemmed | Some results associated with a generalized basic hypergeometric function |
| title_short | Some results associated with a generalized basic hypergeometric function |
| title_sort | some results associated with a generalized basic hypergeometric function |
| topic | Generalized basic hypergeometric functions q-integral representation q-gamma function q-differentiation |
| url | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/240 |
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