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

==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==
* {{BookReference|Higher Transcendental Functions Volume I|1953|Arthur Erdélyi|author2=Wilhelm Magnus|author3=Fritz Oberhettinger|author4=Francesco G. Tricomi|prev=1/B(n,m)=m((n+m-1) choose (n-1))|next=B(x,y)=2^(1-x-y)integral (1+t)^(x-1)(1-t)^(y-1)+(1+t)^(y-1)(1-t)^(x-1) dt}}: $\S 1.5 (9)$

[[Category:Theorem]]
[[Category:Unproven]]