Help with Summation: Simplifying & Gamma Function

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epkid08
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Is there a way to simplify this sum to a generalized function? Would I have to use the gamma function?

[tex]\sum^x_{k=0} ({t \choose {2k}}/(2k+1)^y)[/tex]

where x and y are constants

This is not homework.
 
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Would it help at all if I added that x is a function of t?
 

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