Help with summation

1. Oct 9, 2008

epkid08

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

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

where x and y are constants

This is not homework.

Last edited: Oct 9, 2008
2. Oct 9, 2008

epkid08

Would it help at all if I added that x is a function of t?