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Zbl 1052.33018
Walker, Peter
The analyticity of Jacobian functions with respect to the parameter $k$. (English)
[J] Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 459, No. 2038, 2569-2574 (2003). ISSN 1364-5021; ISSN 1471-2946/e

Summary: We show that the 12 Jacobian elliptic functions sn($z,k$), etc., are meromorphic throughout the complex plane, as functions of $k$ for fixed $z$.
MSC 2000:
*33E05 Elliptic functions and integrals

Keywords: elliptic funcitons; Jacobian elliptic functions; meromorphic behaviour

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