The analyticity of Jacobian functions with respect to the parameter \(k\). (English) Zbl 1052.33018
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:
33E05 | Elliptic functions and integrals |