English

Inequalities for the Jacobian elliptic functions with complex modulus

Complex Variables 2013-06-26 v1

Abstract

Despite the fact that there is a huge amount on papers and books devoted to the theory of Jacobian elliptic functions, very little is known when the modulus kk of these functions lies outside the unit interval [0,1][0,1]. In this note, we prove some simple inequalities for the absolute value of Jacobian elliptic functions with complex modulus.

Keywords

Cite

@article{arxiv.1306.5873,
  title  = {Inequalities for the Jacobian elliptic functions with complex modulus},
  author = {Klaus Schiefermayr},
  journal= {arXiv preprint arXiv:1306.5873},
  year   = {2013}
}
R2 v1 2026-06-22T00:39:48.952Z