Results Concerning the Analysis of Multi-Index Whittaker Function
A variety of functions, their extensions, and variants have been extensively investigated, mainly due to their potential applications in diverse research areas. In this paper, we aim to introduce a new extension of Whittaker function in terms of multi-index confluent hypergeometric function of first...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/3828104 |
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| _version_ | 1850222231132569600 |
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| author | Nabiullah Khan Saddam Husain Talha Usman Serkan Araci |
| author_facet | Nabiullah Khan Saddam Husain Talha Usman Serkan Araci |
| author_sort | Nabiullah Khan |
| collection | DOAJ |
| description | A variety of functions, their extensions, and variants have been extensively investigated, mainly due to their potential applications in diverse research areas. In this paper, we aim to introduce a new extension of Whittaker function in terms of multi-index confluent hypergeometric function of first kind. We discuss multifarious properties of newly defined multi-index Whittaker function such as integral representation, integral transform (i.e., Mellin transform and Hankel transform), and derivative formula. The results presented here, being very general, are pointed out to reduce to yield some known or new formulas and identities for relatively functions. |
| format | Article |
| id | doaj-art-72a67ba884504c4f942996a2c38e230f |
| institution | OA Journals |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-72a67ba884504c4f942996a2c38e230f2025-08-20T02:06:26ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/3828104Results Concerning the Analysis of Multi-Index Whittaker FunctionNabiullah Khan0Saddam Husain1Talha Usman2Serkan Araci3Department of Applied MathematicsDepartment of General RequirementsDepartment of General RequirementsDepartment of EconomicsA variety of functions, their extensions, and variants have been extensively investigated, mainly due to their potential applications in diverse research areas. In this paper, we aim to introduce a new extension of Whittaker function in terms of multi-index confluent hypergeometric function of first kind. We discuss multifarious properties of newly defined multi-index Whittaker function such as integral representation, integral transform (i.e., Mellin transform and Hankel transform), and derivative formula. The results presented here, being very general, are pointed out to reduce to yield some known or new formulas and identities for relatively functions.http://dx.doi.org/10.1155/2022/3828104 |
| spellingShingle | Nabiullah Khan Saddam Husain Talha Usman Serkan Araci Results Concerning the Analysis of Multi-Index Whittaker Function Journal of Mathematics |
| title | Results Concerning the Analysis of Multi-Index Whittaker Function |
| title_full | Results Concerning the Analysis of Multi-Index Whittaker Function |
| title_fullStr | Results Concerning the Analysis of Multi-Index Whittaker Function |
| title_full_unstemmed | Results Concerning the Analysis of Multi-Index Whittaker Function |
| title_short | Results Concerning the Analysis of Multi-Index Whittaker Function |
| title_sort | results concerning the analysis of multi index whittaker function |
| url | http://dx.doi.org/10.1155/2022/3828104 |
| work_keys_str_mv | AT nabiullahkhan resultsconcerningtheanalysisofmultiindexwhittakerfunction AT saddamhusain resultsconcerningtheanalysisofmultiindexwhittakerfunction AT talhausman resultsconcerningtheanalysisofmultiindexwhittakerfunction AT serkanaraci resultsconcerningtheanalysisofmultiindexwhittakerfunction |