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arXiv · 1306.5873

Inequalities for the Jacobian elliptic functions with complex modulus

Klaus Schiefermayr
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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 $k$ of these functions lies outside the unit interval $[0,1]$. In this note, we prove some simple inequalities for the absolute value of Jacobian elliptic functions with complex modulus.

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Klaus Schiefermayr. 2013-06-25. Inequalities for the Jacobian elliptic functions with complex modulus. https://arxiv.org/abs/1306.5873

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