Infinite series involving hyperbolic functions
Number Theory
2016-04-29 v1
Abstract
In the former part of this paper, we summarize our previous results on infinite series involving the hyperbolic sine function, especially, with a focus on the hyperbolic sine analogue of Eisenstein series. Those are based on the classical results given by Cauchy, Mellin and Kronecker. In the latter part, we give new formulas for some infinite series involving the hyperbolic cosine function.
Keywords
Cite
@article{arxiv.1409.0198,
title = {Infinite series involving hyperbolic functions},
author = {Yasushi Komori and Kohji Matsumoto and Hirofumi Tsumura},
journal= {arXiv preprint arXiv:1409.0198},
year = {2016}
}
Comments
18 pages