Evaluate numerically:

Evaluate to high precision:

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

Complex number inputs:

Evaluate efficiently at high precision:

Compute the elementwise values of an array using automatic threading:

Or compute the matrix SpheroidalQSPrime function using MatrixFunction:

Compute average-case statistical intervals using Around:

Evaluate symbolically:

Find the first positive minimum of SpheroidalQSPrime[4,0,1/2,x]:

The SpheroidalQSPrime function is equal to zero for half-integer parameters:

Different SpheroidalQSPrime types give different symbolic forms:

TraditionalForm formatting:

Plot the SpheroidalQSPrime function for various orders:

Plot the real part of :

Plot the imaginary part of :

has both singularities and discontinuities for :

SpheroidalQSPrime is neither non-negative nor non-positive:

First derivative with respect to z:

Higher derivatives with respect to z:

Plot the higher derivatives with respect to z when n=5, m=2 and γ=1:

Compute the indefinite integral using Integrate:

Verify the anti-derivative:

Definite integral:

More integrals:

Find the Taylor expansion using Series:

Plots of the first three approximations around :

Taylor expansion at a generic point: