Gamma function summation

[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]%2FGamma[n%2Bs]%2C{n%2C1%2CN}]