I'm trying to find the MGF of the gamma distribution. But I can't find seem to find a way with the MGF.

I need to find the mean and variance of the gamma random variable of this function:

m(t) = (λ/ λ-T)^a

(a is alpha, couldn't find the symbol lol)

If anyone could help me or give me some support for this question it would be greatly appreciated!

Thank you all =)