On the discrete analogues of Appell function $F_3$
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913196790513664 |
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| author | Dwivedi, Ravi Sahai, Vivek |
| author_facet | Dwivedi, Ravi Sahai, Vivek |
| contents | The present paper is devoted to the study of Appell hypergeometric function $F_3$ from discrete point of view. We mainly introduce two generalized discrete forms of $F_3$ and study their basic properties \emph{viz.} regions of convergence, difference-differential equations, integral representations, finite and infinite sums, recursion formulae, to name a few. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_07509 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the discrete analogues of Appell function $F_3$ Dwivedi, Ravi Sahai, Vivek Classical Analysis and ODEs The present paper is devoted to the study of Appell hypergeometric function $F_3$ from discrete point of view. We mainly introduce two generalized discrete forms of $F_3$ and study their basic properties \emph{viz.} regions of convergence, difference-differential equations, integral representations, finite and infinite sums, recursion formulae, to name a few. |
| title | On the discrete analogues of Appell function $F_3$ |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2401.07509 |