I need to find a way to sum/ a closed form representation for:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\sum^{N}_{n=1}[/tex][tex]\frac{\Gamma(n-s)}{\Gamma(n+s)}[/tex]

0<Re(s)<1

Thanks for the help in advance.

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# Gamma function summation

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