Question

Derive relaion beta and gamma in math

Answer 1

Hey Mate

^_^



 I am thinking one (or two) substitution of variables is necessary, but when and how is the question.

Here is the beta function: B(α,β)=∫10xα−1(1−x)β−1dxB(α,β)=∫01xα−1(1−x)β−1dx.

Here is the gamma function Γ(α)=∫∞0tα−1e−tdtΓ(α)=∫0∞tα−1e−tdt.

Here is the relationship between the Beta and Gamma functions: B(α,β)=Γ(α)Γ(β)Γ(α+β)B(α,β)=Γ(α)Γ(β)Γ(α+β).

I Hope It Will Help!

^_^

Answer 2

please mark as brain list