Hypergeometric solutions for variants of the $q$-hypergeometric equation
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914101084553216 |
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| author | Fujii, Taikei Nobukawa, Takahiko |
| author_facet | Fujii, Taikei Nobukawa, Takahiko |
| contents | We introduce a configuration of a $q$-difference equation and characterize the variants of the $q$-hypergeometric equation, which were defined by Hatano-Matsunawa-Sato-Takemura, by configurations. We show integral solutions and series solutions for the variants of the $q$-hypergeometric equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_12777 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Hypergeometric solutions for variants of the $q$-hypergeometric equation Fujii, Taikei Nobukawa, Takahiko Classical Analysis and ODEs 33D60, 33D15, 39A13 We introduce a configuration of a $q$-difference equation and characterize the variants of the $q$-hypergeometric equation, which were defined by Hatano-Matsunawa-Sato-Takemura, by configurations. We show integral solutions and series solutions for the variants of the $q$-hypergeometric equation. |
| title | Hypergeometric solutions for variants of the $q$-hypergeometric equation |
| topic | Classical Analysis and ODEs 33D60, 33D15, 39A13 |
| url | https://arxiv.org/abs/2207.12777 |