Kernel Function, $q$-Integral Transformation and $q$-Heun Equations
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866917779643301888 |
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| author | Takemura, Kouichi |
| author_facet | Takemura, Kouichi |
| contents | We find kernel functions of the $q$-Heun equation and its variants. We apply them to obtain $q$-integral transformations of solutions to the $q$-Heun equation and its variants. We discuss special solutions of the $q$-Heun equation from the perspective of the $q$-integral transformation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_09341 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Kernel Function, $q$-Integral Transformation and $q$-Heun Equations Takemura, Kouichi Classical Analysis and ODEs Mathematical Physics 39A13, 44A20 We find kernel functions of the $q$-Heun equation and its variants. We apply them to obtain $q$-integral transformations of solutions to the $q$-Heun equation and its variants. We discuss special solutions of the $q$-Heun equation from the perspective of the $q$-integral transformation. |
| title | Kernel Function, $q$-Integral Transformation and $q$-Heun Equations |
| topic | Classical Analysis and ODEs Mathematical Physics 39A13, 44A20 |
| url | https://arxiv.org/abs/2309.09341 |