# Computing Spherical Harmonics

1. Dec 1, 2013

### ~Sam~

1. The problem statement, all variables and given/known data
For the spherical harmonics Umn; Vmn, compute the ones of orders
0,1, 2.

Umn=cos(nθ)sinn($\varphi$)Pmn(cos($\varphi$))
Vmn=sin(nθ)sinn($\varphi$)Pmn(cos($\varphi$))
(b) How many non-zero spherical harmonics are there of order k?

2. Relevant equations

Equations of Umn; Vmn given

3. The attempt at a solution

What I'm confused about is that these aren't the usual spherical harmonics that I see, plus the notation is different. Is it the different notation? And shouldn't spherical harmonics have 2k+1 for part b?