Properties and Applications of a New Extended Gamma Function Involving Confluent Hypergeometric Function
In this paper, a new confluent hypergeometric gamma function and an associated confluent hypergeometric Pochhammer symbol are introduced. We discuss some properties, for instance, their different integral representations, derivative formulas, and generating function relations. Different special case...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/2491248 |
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| _version_ | 1832550844093956096 |
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| author | Abdus Saboor Gauhar Rahman Hazrat Ali Kottakkaran Sooppy Nisar Thabet Abdeljawad |
| author_facet | Abdus Saboor Gauhar Rahman Hazrat Ali Kottakkaran Sooppy Nisar Thabet Abdeljawad |
| author_sort | Abdus Saboor |
| collection | DOAJ |
| description | In this paper, a new confluent hypergeometric gamma function and an associated confluent hypergeometric Pochhammer symbol are introduced. We discuss some properties, for instance, their different integral representations, derivative formulas, and generating function relations. Different special cases are also considered. |
| format | Article |
| id | doaj-art-7ea9e2426fc7425e91be9960cde5fd99 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-7ea9e2426fc7425e91be9960cde5fd992025-02-03T06:05:45ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/24912482491248Properties and Applications of a New Extended Gamma Function Involving Confluent Hypergeometric FunctionAbdus Saboor0Gauhar Rahman1Hazrat Ali2Kottakkaran Sooppy Nisar3Thabet Abdeljawad4Institute of Numerical Sciences, Kohat University of Science and Technology, Kohat 26000, PakistanDepartment of Mathematics and Statistics, Hazara University, Mansehra, Pakistan, PakistanInstitute of Numerical Sciences, Kohat University of Science and Technology, Kohat 26000, PakistanDepartment of Mathematics, College of Arts and Sciences, Prince Sattam Bin Abdulaziz University, Wadi Aldawser 11991, Saudi ArabiaDepartment of Mathematics and General Sciences, Prince Sultan University, P. O. Box 66833, Riyadh 11586, Saudi ArabiaIn this paper, a new confluent hypergeometric gamma function and an associated confluent hypergeometric Pochhammer symbol are introduced. We discuss some properties, for instance, their different integral representations, derivative formulas, and generating function relations. Different special cases are also considered.http://dx.doi.org/10.1155/2021/2491248 |
| spellingShingle | Abdus Saboor Gauhar Rahman Hazrat Ali Kottakkaran Sooppy Nisar Thabet Abdeljawad Properties and Applications of a New Extended Gamma Function Involving Confluent Hypergeometric Function Journal of Mathematics |
| title | Properties and Applications of a New Extended Gamma Function Involving Confluent Hypergeometric Function |
| title_full | Properties and Applications of a New Extended Gamma Function Involving Confluent Hypergeometric Function |
| title_fullStr | Properties and Applications of a New Extended Gamma Function Involving Confluent Hypergeometric Function |
| title_full_unstemmed | Properties and Applications of a New Extended Gamma Function Involving Confluent Hypergeometric Function |
| title_short | Properties and Applications of a New Extended Gamma Function Involving Confluent Hypergeometric Function |
| title_sort | properties and applications of a new extended gamma function involving confluent hypergeometric function |
| url | http://dx.doi.org/10.1155/2021/2491248 |
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