Explicit logarithmic formulas of special values of hypergeometric functions 3F2
Algebraic Geometry
2019-06-10 v1
Abstract
In a joint paper [4] by Otsubo, Terasoma and the first author, we proved that the special value 3F2(a,b,q;a+b,q;1) of the generalized hypergeometric function is a linear combination of log of algebraic numbers if the triplet (a,b,q) of rational numbers satisfies a certain numerical condition. However there remains a question how to obtain explicit descriptions of the values. In this paper, we give a method to do this, which is a further development of the technique in [4].
Cite
@article{arxiv.1906.02878,
title = {Explicit logarithmic formulas of special values of hypergeometric functions 3F2},
author = {Masanori Asakura and Toshifumi Yabu},
journal= {arXiv preprint arXiv:1906.02878},
year = {2019}
}
Comments
22pages, To appear in Communications in Contemporary Mathematics