A study on unification of generalized hypergeometric function and Mittag-Leffler function with certain integral transforms of generalized basic hypergeometric function
| Autor: | K.K. Chaudhary, S.B. Rao |
|---|---|
| Jazyk: | English<br />Ukrainian |
| Rok vydání: | 2024 |
| Předmět: | |
| Zdroj: | Researches in Mathematics, Vol 32, Iss 1, Pp 16-32 (2024) |
| Druh dokumentu: | article |
| ISSN: | 2664-4991 2664-5009 |
| DOI: | 10.15421/242402 |
| Popis: | This research article explores some new properties of generalized hypergeometric function and its q-analogue. The connections between ${}_{2}{{R}_{1}}^{\upsilon }(\mathfrak{z})$, the Wright function, and generalized Mittag-Leffler functions are explored. The authors introduce the q-analogue of generalized hypergeometric function denoted by ${}_{2}{{R}_{1}}^{\upsilon ,q}(\mathfrak{z})$ and discuss its properties and connections with q-Wright function and q-versions of generalized Mittag-Leffler functions. We get the q-integral transforms such as q-Mellin, q-Euler (beta), q-Laplace, q-sumudu, and q-natural transforms of Wright-type generalized q-hypergeometric function. This article contributes to the understanding of hypergeometric functions in q-calculus. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
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