Angular Spheroidal Functions as a Function of Spheroidicity
Angular Spheroidal Functions as a Function of Spheroidicity
This Demonstration shows how the angular spheroidal functions, (γ,x), vary over the interval . For comparison we also show the corresponding Legendre functions, (x), to which the spheroidal ones reduce when . The controls allow to be varied: for >0 (real ) we have the so-called prolate functions, while for <0 (imaginary ) we have the oblate functions.
PS
n,m
-1≤x≤1
m
P
n
γ=0
2
γ
2
γ
γ
2
γ
γ