First Derivative of Automorphic Function of Triangle Groups
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866910297128697856 |
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| author | Alam, Md. Shafiul Saha, Bijan Krishna Podder, Chinmayee |
| author_facet | Alam, Md. Shafiul Saha, Bijan Krishna Podder, Chinmayee |
| contents | For a triangle group $G$, the $G$-automorphic function is the inverse of Schwarz triangle function. In this paper, we compute the first derivative of the $G$-automorphic function for the triangle group $G$ in terms of the Gaussian hypergeometric function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_03986 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | First Derivative of Automorphic Function of Triangle Groups Alam, Md. Shafiul Saha, Bijan Krishna Podder, Chinmayee Complex Variables 11F03, 33C05 For a triangle group $G$, the $G$-automorphic function is the inverse of Schwarz triangle function. In this paper, we compute the first derivative of the $G$-automorphic function for the triangle group $G$ in terms of the Gaussian hypergeometric function. |
| title | First Derivative of Automorphic Function of Triangle Groups |
| topic | Complex Variables 11F03, 33C05 |
| url | https://arxiv.org/abs/2305.03986 |