On the discrete analogues of Appell function $F_2$
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
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2024
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| _version_ | 1866913497495896064 |
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| author | Dwivedi, Ravi Sahai, Vivek |
| author_facet | Dwivedi, Ravi Sahai, Vivek |
| contents | In this paper, we introduce two distinct discrete forms of Appell function $F_2$. We determine their convergence domains, integral representations as well as difference-differential equations that are satisfied by these discrete analogues of $F_2$. We have also obtained the difference-differential formulas, finite and infinite summation formulas, and a complete list of difference-differential recursion relations obeyed by these discrete functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_06501 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the discrete analogues of Appell function $F_2$ Dwivedi, Ravi Sahai, Vivek Classical Analysis and ODEs Number Theory In this paper, we introduce two distinct discrete forms of Appell function $F_2$. We determine their convergence domains, integral representations as well as difference-differential equations that are satisfied by these discrete analogues of $F_2$. We have also obtained the difference-differential formulas, finite and infinite summation formulas, and a complete list of difference-differential recursion relations obeyed by these discrete functions. |
| title | On the discrete analogues of Appell function $F_2$ |
| topic | Classical Analysis and ODEs Number Theory |
| url | https://arxiv.org/abs/2401.06501 |