Hyperelliptic values of the Gamma function

Fuente: arXiv
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Autor principal: Lügering, Jan
Formato: Preprint
Publicado: 2021
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author Lügering, Jan
author_facet Lügering, Jan
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2109_09198
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle Hyperelliptic values of the Gamma function
Lügering, Jan
Classical Analysis and ODEs
26A09, 30D30, 33B15, 33E05
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.
title Hyperelliptic values of the Gamma function
topic Classical Analysis and ODEs
26A09, 30D30, 33B15, 33E05
url https://arxiv.org/abs/2109.09198