Evaluate to high precision:

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

Evaluate for complex arguments:

Evaluate InverseJacobiSN efficiently at high precision:

Compute average-case statistical intervals using Around:

Compute the elementwise values of an array:

Or compute the matrix InverseJacobiSN function using MatrixFunction:

Simple exact values are generated automatically:

Value at infinity:

Find a real root of the equation :

Parity transformation is automatically applied:

Plot InverseJacobiSN for various values of the second parameter :

Plot InverseJacobiSN as a function of its parameter :

Plot the real part of :

Plot the imaginary part of :

InverseJacobiSN 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 on its real domain:

is neither convex nor concave on its real domain:

First derivative:

Higher derivatives:

Plot higher derivatives for :

Differentiate InverseJacobiSN 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 :

InverseJacobiSN is the inverse function of JacobiSN:

Compose with inverse function:

Use PowerExpand to disregard multivaluedness of the inverse function:

InverseJacobiSN threads elementwise over lists:

InverseJacobiSN can be applied to a power series:

TraditionalForm formatting: