Finding a closed form for sum of Gamma(n-s)/Gamma(n+s)

[rman144]

I need to find a way to sum/ a closed form representation for:

$$\sum^{N}_{n=1}$$$$\frac{\Gamma(n-s)}{\Gamma(n+s)}$$

0<Re(s)<1

Thanks for the help in advance.

 

[CRGreathouse]

http://www.wolframalpha.com/input/?i=Sum[Gamma[n-s]/Gamma[n+s],{n,1,N}]