yeh, i guess. I should have taken them out like a normal person lol. Because they were part of the reduction formula they stayed in the reduction formula and so they never cancelled the alpha factorial and the beta^(alpha+1), which was the answer I ended up with.
As I was falling asleep yesterday I realised what I did wrong. In setting up the reduction formula, I didn't take out the gamma function and the beta to the alpha LOL...shit.
This is true. I reckon, because I had to learn it on my own, it was one the hardest topics. I've covered it for now but it was really all with the help of Carrotsticks who basically got me started with the videos he made for me.