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

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

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