First Derivative of Automorphic Function of Triangle Groups
Complex Variables
2024-01-17 v2
Abstract
For a triangle group , the -automorphic function is the inverse of Schwarz triangle function. In this paper, we compute the first derivative of the -automorphic function for the triangle group in terms of the Gaussian hypergeometric function.
Cite
@article{arxiv.2305.03986,
title = {First Derivative of Automorphic Function of Triangle Groups},
author = {Md. Shafiul Alam and Bijan Krishna Saha and Chinmayee Podder},
journal= {arXiv preprint arXiv:2305.03986},
year = {2024}
}