fourier expansion of 1/[sin(wt)+a]

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fanshuo

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How to find the fourier coefficient this term?
or what are they?
 

You realize, that it happens that sin(x) = 0 for some x-es....

And Your func reaches infinity then...

And for Fourier calculatons - function gotta be limited
 

if a is larger than 1(or smaller than -1) then the denominator can never reach infinity

what will be the result then
 

it's hard (impossible) to find out general solution, but....
Try this:
http://integrals.wolfram.com/index.jsp



For a0, a1, b0=0, b1 it is quite simple, for a2,b2 it becomes horrible

do not want to even try to calculate higher ones ....
 

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