Evaluate to high precision:

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

Evaluate for complex arguments:

Evaluate InverseJacobiSC efficiently at high precision:

Compute average-case statistical intervals using Around:

Compute the elementwise values of an array:

Or compute the matrix InverseJacobiSC function using MatrixFunction:

Simple exact results are generated automatically:

Values at infinity:

Find a real root of the equation :

Parity transformation is automatically applied:

Plot InverseJacobiSC for various values of the second parameter :

Plot InverseJacobiSC as a function of its parameter :

Plot the real part of :

Plot the imaginary part of :

InverseJacobiSC is not an analytic function:

It has both singularities and discontinuities:

is nondecreasing on its real domain:

is injective:

is not surjective:

is neither non-negative nor non-positive:

is neither convex nor concave:

First derivative:

Higher derivatives:

Plot higher derivatives for :

Differentiate InverseJacobiSC with respect to the second argument :

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

Taylor expansion for around :

Plot the first three approximations for around :

Taylor expansion for around :

Plot the first three approximations for around :

InverseJacobiSC can be applied to a power series:

InverseJacobiSC is the inverse function of JacobiSC:

Compose with inverse function:

Use PowerExpand to disregard multivaluedness of the inverse function:

InverseJacobiSC threads elementwise over lists:

TraditionalForm formatting: