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arXiv · 2305.03986

First Derivative of Automorphic Function of Triangle Groups

Md. Shafiul Alam·Bijan Krishna Saha·Chinmayee Podder
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Abstract

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.

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Md. Shafiul Alam, Bijan Krishna Saha, Chinmayee Podder. 2023-05-06. First Derivative of Automorphic Function of Triangle Groups. https://arxiv.org/abs/2305.03986

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