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InverseJacobiNC

InverseJacobiNC
gives the inverse Jacobi elliptic function .
  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • gives the value of for which .
  • InverseJacobiNC has branch cut discontinuities in the complex 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, InverseJacobiNC automatically evaluates to exact values.
Evaluate numerically:
Check defining property:
Series expansion:
Evaluate numerically:
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Check defining property:
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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:
InverseJacobiNC threads element-wise over lists:
Simple exact values are generated automatically:
TraditionalForm formatting:
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 InverseJacobiNC:
Obtain InverseJacobiNC 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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