Evaluate to high precision:

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

Evaluate for complex arguments:

Evaluate InverseJacobiCS efficiently at high precision:

InverseJacobiCS threads elementwise over lists:

Compute average-case statistical intervals using Around:

Compute the elementwise values of an array:

Or compute the matrix InverseJacobiCS function using MatrixFunction:

Simple exact results are generated automatically:

Value at infinity:

Find a real root of the equation :

Parity transformation is automatically applied:

Plot InverseJacobiCS for various values of the second parameter :

Plot InverseJacobiCS as a function of its parameter :

Plot the real part of :

Plot the imaginary part of :

InverseJacobiCS is not an analytic function:

It has both singularities and discontinuities:

is neither nondecreasing nor nonincreasing:

is injective:

is neither non-negative nor non-positive:

is neither convex nor concave:

First derivative:

Higher derivatives:

Plot higher derivatives for :

Differentiate InverseJacobiCS with respect to the second argument :

Higher derivatives:

Definite integral of an odd function over an interval centered at the origin is 0:

Series expansion for :

Plot the first three approximations for around :

Taylor expansion for :

Plot the first three approximations for around :

InverseJacobiCS is the inverse function of JacobiCS:

Compose with inverse function:

Use PowerExpand to disregard multivaluedness of the inverse function:

InverseJacobiCS can be applied to a power series:

TraditionalForm formatting: