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Inequalities for the Jacobian elliptic functions with complex modulus (1306.5873v1)
Published 25 Jun 2013 in math.CV
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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