# Angular Spheroidal Functions as a Function of Spheroidicity

Angular Spheroidal Functions as a Function of Spheroidicity

This Demonstration shows how the angular spheroidal functions, , vary over the interval . For comparison we also show the corresponding Legendre functions, , to which the spheroidal ones reduce when . The controls allow to be varied: for (real ) we have the so-called prolate functions, while for (imaginary ) we have the oblate functions.

PS(γ,x)

n,m

-1≤x≤1

P(x)

m

n

γ=0

γ

2

γ>0

2

γ

γ<0

2

γ