Re: Gamma and Beta Functions

Let so this is and

The definition of the beta function reads

so that and hence

so

Using that

my answer is

which is not yours either

Re: Gamma and Beta Functions

Thanks Ruun

I think we have the same answer if it wasn't for the following

when you work out for x, you did x-1 = 3/4, but it should have been (-3/4) , which gives x = 1/4

But either way the answer should be equal to Γ(1/4)^2/(6√2π).....its 6 root 2pie in the denominator ,

Re: Gamma and Beta Functions

Hi Abeyatta,

I agree with your answer of

It can be converted to the given answer by the use of a few identities.

Start with

That gets you a in the denominator and you deal with that by using the so called duplication formula

(Substitute x = 5/4).

Remove the and by use of the identities and finally

(The also requires the use of

Re: Gamma and Beta Functions

Thank you very much Bob, and apologies for late reply.