Difference between revisions of "1/B(n,m)=n((n+m-1) choose (m-1))"
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Revision as of 23:05, 24 June 2017
Theorem
The following formula holds: $$\dfrac{1}{B(n,m)} = n {{n+m-1} \choose {m-1}},$$ where $B$ denotes the beta function and ${{n+m-1} \choose {m-1}}$ denotes a binomial coefficient.
Proof
References
- 1953: Harry Bateman: Higher Transcendental Functions Volume I ... (previous) ... (next): $\S 1.5 (9)$
