Difference between revisions of "B(x,y+1)=(y/x)B(x+1,y)"
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Revision as of 22:57, 24 June 2017
Theorem
The following formula holds: $$B(x,y+1)=\dfrac{y}{x} B(x+1,y),$$ where $B$ denotes the beta function.
Proof
References
- 1953: Harry Bateman: Higher Transcendental Functions Volume I ... (previous) ... (next): $\S 1.5 (6)$
