# Complex analysis fourier series

1. Apr 13, 2014

### Dassinia

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. Apr 13, 2014

### vela

Staff Emeritus
Is that the entire problem statement word for word? It doesn't make sense to me as written.

3. Apr 13, 2014

### Dassinia

Find the Fourier series of the functions 1/cos(z) and cotan(z) for Im(z)>0
this is it.

Thanks

4. Apr 13, 2014

### vela

Staff Emeritus
Do you know what a Fourier series is? If not, that would be the place to start.

5. Apr 13, 2014

### Dassinia

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. Apr 13, 2014

### vela

Staff Emeritus