Jacobi's epsilon and zeta function for moduli outside the interval [0, 1]
Classical Analysis and ODEs
2015-10-02 v1
Abstract
The formulas that relate Jacobi's Epsilon and Zeta function with real moduli in the interval (1,inf) or with pure imaginary moduli to elliptic functions with moduli in the interval [0,1] are derived.
Cite
@article{arxiv.1510.00335,
title = {Jacobi's epsilon and zeta function for moduli outside the interval [0, 1]},
author = {Milan Batista},
journal= {arXiv preprint arXiv:1510.00335},
year = {2015}
}