Simplifying sum of binomial coefficients with gamma function

[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.

 

[epkid08]

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