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Complex analysis fourier series

  1. Apr 13, 2014 #1
    Hello,
    1. The problem statement, all variables and given/known data

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


    2. Relevant equations



    3. 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
     
  2. jcsd
  3. Apr 13, 2014 #2

    vela

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    Is that the entire problem statement word for word? It doesn't make sense to me as written.
     
  4. Apr 13, 2014 #3
    Find the Fourier series of the functions 1/cos(z) and cotan(z) for Im(z)>0
    this is it.

    Thanks
     
  5. Apr 13, 2014 #4

    vela

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    Do you know what a Fourier series is? If not, that would be the place to start.
     
  6. Apr 13, 2014 #5
    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 ?
     
  7. Apr 13, 2014 #6

    vela

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