Fuchsian differential equations of order 3,...,6 with three singular points and an accessory parameter
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Acceso en línea: | |
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| _version_ | 1866918164820918272 |
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| author | Haraoka, Yoshishige Ochiai, Hiroyuki Sasaki, Takeshi Yoshida, Masaaki |
| author_facet | Haraoka, Yoshishige Ochiai, Hiroyuki Sasaki, Takeshi Yoshida, Masaaki |
| contents | Fuchsian differential equations $H_j$ of order $j=3,\dots,6$ with three singular points and one accessory parameter are presented. The shift operators for $H_6$ are studied. They lead to assign the accessory parameter of $H_6$ a cubic polynomial of local exponents so that the equation has several nice symmetries. The other equations will be studied in the forthcoming papers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_01358 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Fuchsian differential equations of order 3,...,6 with three singular points and an accessory parameter Haraoka, Yoshishige Ochiai, Hiroyuki Sasaki, Takeshi Yoshida, Masaaki Classical Analysis and ODEs Primary 34A30, Secondary 34M35, 33C05, 33C20, 34M03 Fuchsian differential equations $H_j$ of order $j=3,\dots,6$ with three singular points and one accessory parameter are presented. The shift operators for $H_6$ are studied. They lead to assign the accessory parameter of $H_6$ a cubic polynomial of local exponents so that the equation has several nice symmetries. The other equations will be studied in the forthcoming papers. |
| title | Fuchsian differential equations of order 3,...,6 with three singular points and an accessory parameter |
| topic | Classical Analysis and ODEs Primary 34A30, Secondary 34M35, 33C05, 33C20, 34M03 |
| url | https://arxiv.org/abs/2307.01358 |