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InverseJacobiCS

InverseJacobiCS
gives the inverse Jacobi elliptic function .
  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • gives the value of for which .
  • InverseJacobiCS has branch cut discontinuities in the complex v plane with branch points at and infinity, and in the complex m plane with branch points at and infinity.
  • The inverse Jacobi elliptic functions are related to elliptic integrals.
  • For certain special arguments, InverseJacobiCS automatically evaluates to exact values.
Evaluate numerically:
Series expansion:
Evaluate numerically:
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Series expansion:
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Evaluate for complex arguments:
Evaluate to high precision:
The precision of the output tracks the precision of the input:
InverseJacobiCS threads element-wise over lists:
Simple exact results are generated automatically:
Parity transformation is automatically applied:
TraditionalForm formatting:
InverseJacobiCS can be applied to a power series:
Plot contours of constant real and imaginary parts in the complex plane:
Compose with inverse function:
Use PowerExpand to disregard multivaluedness of the inverse function:
Differentiate InverseJacobiCS:
Obtain InverseJacobiCS from solving equations containing elliptic functions:
Machine-precision input is insufficient to get a correct answer:
With exact input, the answer is correct:
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