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InverseJacobiNC






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Elliptic Functions > InverseJacobiNC[z,m] > Introduction to the inverse Jacobi elliptic functions





Definitions of the inverse Jacobi functions

The inverses of the twelve Jacobi elliptic functions , , , , , , , , , , , and are defined by the following formulas:

It is obvious that the inverses of the twelve Jacobi elliptic functions are actually the definite elliptic integrals and can be expressed through the Legendre elliptic integrals.