Evaluate to high precision:

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

Evaluate for complex arguments:

Evaluate InverseJacobiNS efficiently at high precision:

Compute average-case statistical intervals using Around:

Compute the elementwise values of an array:

Or compute the matrix InverseJacobiNS 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 InverseJacobiNS for various values of the second parameter :

Plot InverseJacobiNS as a function of its parameter :

Plot the real part of :

Plot the imaginary part of :

InverseJacobiNS is not an analytic function:

It has both singularities and discontinuities:

is neither nondecreasing nor nonincreasing 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 InverseJacobiNS with respect to the second argument :

Higher derivatives:

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 :

InverseJacobiNS can be applied to a power series:

InverseJacobiNS is the inverse function of JacobiNS:

Compose with inverse function:

Use PowerExpand to disregard multivaluedness of the inverse function:

InverseJacobiNS threads elementwise over lists:

TraditionalForm formatting: