Hyperelliptic values of the Gamma function
Classical Analysis and ODEs
2025-08-06 v3
Abstract
We show how to calculate particular values of the Gamma function for specific rational arguments in the interval (0,1) without using the Elliptic K-function. Instead we use transcendental constants or periods defined by hyperelliptic integrals.
Cite
@article{arxiv.2109.09198,
title = {Hyperelliptic values of the Gamma function},
author = {Jan Lügering},
journal= {arXiv preprint arXiv:2109.09198},
year = {2025}
}
Comments
12 pages