Evaluate numerically:

Evaluate to high precision:

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

Complex number input:

Evaluate efficiently at high precision:

Compute average-case statistical intervals using Around:

Compute the elementwise values of an array:

Or compute the matrix InverseEllipticNomeQ function using MatrixFunction:

Value at a fixed point:

Evaluate symbolically:

Value at zero:

Find a value of for which InverseEllipticNomeQ[x]=0.9:

Plot the InverseEllipticNomeQ function for various parameters:

Plot the real part of :

Plot the imaginary part of :

Real domain of InverseEllipticNomeQ:

Complex domain of InverseEllipticNomeQ:

InverseEllipticNomeQ threads element-wise over lists:

InverseEllipticNomeQ is an analytic function over its real domain:

In general, it has both singularities and discontinuities:

InverseEllipticNomeQ is nondecreasing over its real domain:

InverseEllipticNomeQ is injective:

InverseEllipticNomeQ is not surjective:

InverseEllipticNomeQ is neither non-negative nor non-positive:

InverseEllipticNomeQ is concave over its real domain:

TraditionalForm formatting:

First derivative with respect to :

Higher derivatives with respect to :

Plot the higher derivatives with respect to :

Find the Taylor expansion using Series:

Plots of the first three approximations around :

Taylor expansion at a generic point: