# Spherical Harmonics

1. Jan 19, 2009

### pgerlein

1. The problem statement, all variables and given/known data

Hi!!! I need help with this. I have to calculate the expression of a function using spherical harmonics. The relevant equations are given below. An example of a function can be f(theta,phi) = sin(theta)... Can you help me to calculate de coeficients and to express the function? Thanks.

2. Relevant equations

View attachment formulas.doc

3. The attempt at a solution

2. Jan 19, 2009

### gabbagabbahey

Hola pgerlein. Welcome to PF

Why don't you show us what you've tried for your example ($f(\theta,\phi)=sin(\theta)$) and we'll know how to help you better.

To make equation writing easier, this forum supports LaTeX. You can find an introduction to using it by clicking here

3. Jan 20, 2009

### pgerlein

I can´t understand the use of this base (spherical harmonics). If I solve the ecuation that gives the coefficients value, how can I express the function in terms of the spherical harmonics?

4. Jan 20, 2009

### AEM

How would you express a function in terms of a Fourier series, for example? Essentially it's the same idea when you write any function in terms of an infinite series of basis functions.