# Gamma function summation

1. Jul 15, 2009

### 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.

2. Jul 15, 2009

### CRGreathouse

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