Question

beta gamma relation

Answer 1

How do I demonstrate the relationship between the Beta and the Gamma function, in the cleanest way possible? 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).

Answer 2

Beta in number system states 2 whereas
Gamma in number system represents 3

During nuclear fission, beta and gamma both are released as nuclear wastes

HOPE IT HELPED

PLEASE MARK IT AS THE BRAINLIEST ANSWER