Asymptotics of Saran's hypergeometric function $F_K$
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910430166777856 |
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| author | Hang, Peng-Cheng Luo, Min-Jie |
| author_facet | Hang, Peng-Cheng Luo, Min-Jie |
| contents | In this paper, we first establish asymptotic expansions of the Humbert function $Ψ_1$ for one large variable. The resulting expansions are then used to derive an asymptotic expansion of Saran's hypergeometric function $F_K$ when two of its variables become simultaneously large. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_00325 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Asymptotics of Saran's hypergeometric function $F_K$ Hang, Peng-Cheng Luo, Min-Jie Classical Analysis and ODEs 33C65, 33C70, 33C05 In this paper, we first establish asymptotic expansions of the Humbert function $Ψ_1$ for one large variable. The resulting expansions are then used to derive an asymptotic expansion of Saran's hypergeometric function $F_K$ when two of its variables become simultaneously large. |
| title | Asymptotics of Saran's hypergeometric function $F_K$ |
| topic | Classical Analysis and ODEs 33C65, 33C70, 33C05 |
| url | https://arxiv.org/abs/2405.00325 |