Complex analysis fourier series

  • Thread starter Dassinia
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  • #1
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Hello,

Homework Statement



Develop in fourier series 1/cos(z) and cotan(z) for Im(z)>0


Homework Equations





The Attempt at a Solution


I really don't know how to do this, i was looking at my notes and we just saw fourier transform and there is no example for complex functions.
I was thinking to develop cos(z) in exponential form and simplify and then i don't know what to do if someone can "guide" me it'd be great !
Thanks
 

Answers and Replies

  • #2
vela
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Is that the entire problem statement word for word? It doesn't make sense to me as written.
 
  • #3
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Find the Fourier series of the functions 1/cos(z) and cotan(z) for Im(z)>0
this is it.

Thanks
 
  • #4
vela
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Do you know what a Fourier series is? If not, that would be the place to start.
 
  • #5
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Yes I know and I used to calculate Fourier series for real functions in a previous course.
But for this one z=x+iy so we have two variables so I don't know if I have to calculate the fourier series according to one of them or both ?
 
  • #6
vela
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