Yasushi Komori, Kohji Matsumoto, Hirofumi Tsumura
Published 2014-08-31Version 1
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.
Some infinite series involving hyperbolic functions
On multiple series of Eisenstein type
Barnes multiple zeta-functions, Ramanujan's formula, and relevant series involving hyperbolic functions
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