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math-ph2003★ 1 cited
Generalized Landen Transformation Formulas for Jacobi Elliptic Functions
Avinash Khare, Uday Sukhatme
Landen transformation formulas, which connect Jacobi elliptic functions with different modulus parameters, were first obtained over two hundred years ago by changing integration va…
math-ph2003★ 28 cited
Local Identities Involving Jacobi Elliptic Functions
Avinash Khare, Arul Lakshminarayan, Uday Sukhatme
We derive a number of local identities of arbitrary rank involving Jacobi elliptic functions and use them to obtain several new results. First, we present an alternative, simpler d…