arXiv 1306.58732013-06-25math.CV

Inequalities for the Jacobian elliptic functions with complex modulus

Klaus Schiefermayr

英文摘要：

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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