Evaluate to high precision:

The precision of the input tracks the precision of the output:

Evaluate for complex arguments:

Evaluate InverseJacobiDC efficiently at high precision:

Compute average-case statistical intervals using Around:

Compute the elementwise values of an array:

Or compute the matrix InverseJacobiDC function using MatrixFunction:

Simple exact results are generated automatically:

Limiting value at infinity:

Find a real root of the equation :

Plot InverseJacobiDC for various values of the second parameter :

Plot InverseJacobiDC as a function of its parameter :

Plot the real part of :

Plot the imaginary part of :

InverseJacobiDC is not an analytic function:

It has both singularities and discontinuities:

is nonincreasing on its real domain:

is injective:

is not surjective:

is non-negative on its real domain:

is neither convex nor concave on its real domain:

First derivative:

Higher derivatives:

Plot higher derivatives for :

Differentiate InverseJacobiDC with respect to the second argument :

Higher derivatives:

Series expansion for around :

Plot the first three approximations for around :

Taylor expansion for :

Plot the first three approximations for around :

InverseJacobiDC can be applied to a power series:

InverseJacobiDC is the inverse function of JacobiDC:

Compose with inverse function:

Use PowerExpand to disregard multivaluedness of the inverse function:

InverseJacobiDC threads elementwise over lists:

TraditionalForm formatting: