Spherical Harmonics Homework: Calculate Coeficients & Express Function

pgerlein
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Homework Statement



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.


Homework Equations



View attachment formulas.doc

The Attempt at a Solution

 
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Hola pgerlein. Welcome to PF:smile:

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
 
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?
 
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.
 

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