The New Mittag-Leffler Function and Its Applications
In this paper, we investigate some properties of the Pochhammer p,s,k-symbol ξn,k,sp and gamma p,s,k-function Γs,kpξ. We then prove several identities for newly defined symbol ξn,k,sp and the function Γs,kpξ. The integral representations for the gamma p,s,k-function and beta p,s,k-function are prese...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/2463782 |
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| _version_ | 1832546800941137920 |
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| author | U. Ayub S. Mubeen T. Abdeljawad G. Rahman Kottakkaran Sooppy Nisar |
| author_facet | U. Ayub S. Mubeen T. Abdeljawad G. Rahman Kottakkaran Sooppy Nisar |
| author_sort | U. Ayub |
| collection | DOAJ |
| description | In this paper, we investigate some properties of the Pochhammer p,s,k-symbol ξn,k,sp and gamma p,s,k-function Γs,kpξ. We then prove several identities for newly defined symbol ξn,k,sp and the function Γs,kpξ. The integral representations for the gamma p,s,k-function and beta p,s,k-function are presented. Also, we define a new Mittag-Leffler p,s,k-function and study its analytic properties and its transforms. |
| format | Article |
| id | doaj-art-4e45bb1105b1441dad0c160528ef52d9 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-4e45bb1105b1441dad0c160528ef52d92025-02-03T06:46:58ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/24637822463782The New Mittag-Leffler Function and Its ApplicationsU. Ayub0S. Mubeen1T. Abdeljawad2G. Rahman3Kottakkaran Sooppy Nisar4Department of Mathematics, University of Sargodha, Sargodha, PakistanDepartment of Mathematics, University of Sargodha, Sargodha, PakistanDepartment of Mathematics, Prince Sultan University, Riyadh, Saudi ArabiaDepartment of Mathematics and Statistics, Hazara University, Mansehra, PakistanDepartment of Mathematics, College of Arts and Sciences, Prince Sattam Bin Abdulaziz University, Wadi Aldawaser, Saudi ArabiaIn this paper, we investigate some properties of the Pochhammer p,s,k-symbol ξn,k,sp and gamma p,s,k-function Γs,kpξ. We then prove several identities for newly defined symbol ξn,k,sp and the function Γs,kpξ. The integral representations for the gamma p,s,k-function and beta p,s,k-function are presented. Also, we define a new Mittag-Leffler p,s,k-function and study its analytic properties and its transforms.http://dx.doi.org/10.1155/2020/2463782 |
| spellingShingle | U. Ayub S. Mubeen T. Abdeljawad G. Rahman Kottakkaran Sooppy Nisar The New Mittag-Leffler Function and Its Applications Journal of Mathematics |
| title | The New Mittag-Leffler Function and Its Applications |
| title_full | The New Mittag-Leffler Function and Its Applications |
| title_fullStr | The New Mittag-Leffler Function and Its Applications |
| title_full_unstemmed | The New Mittag-Leffler Function and Its Applications |
| title_short | The New Mittag-Leffler Function and Its Applications |
| title_sort | new mittag leffler function and its applications |
| url | http://dx.doi.org/10.1155/2020/2463782 |
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