1/B(n,m)=m((n+m-1) choose (n-1))

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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

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