i am trying to express the following in form of a gamma integral but so far i have been unsuccessful:
some of the substitutions i have tried are: , , , , and even , any pointer would be appreciated.
i am tring to prove the following result:
edit i omitted the variable of integration so:
for the first, and
for the last integrals respectively.
i'd love to say i understand you method, but i do not, that said, im working on a topic in mathematicsl physics (gamma fuctions, beta fucntions and such), hence why i'm trying to convert this problem into the general form of gamma a function.
see the attached scan of arfken and weber i think, sixth ed.