Difference between revisions of "1/B(n,m)=m((n+m-1) choose (n-1))"

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(Created page with "==Theorem== The following formula holds: $$\dfrac{1}{B(n,m)} = m {{n+m-1} \choose {n-1}},$$ where $B$ denotes the beta function and ${{n+m-1} \choose {n-1}}$ denotes a b...")
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Revision as of 23:04, 24 June 2017

Theorem

The following formula holds: $$\dfrac{1}{B(n,m)} = m {{n+m-1} \choose {n-1}},$$ where $B$ denotes the beta function and ${{n+m-1} \choose {n-1}}$ denotes a binomial coefficient.

Proof

References