Difference between revisions of "B(x,y)=integral (t^(x-1)+t^(y-1))(1+t)^(-x-y) dt"
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(Created page with "==Theorem== The following formula holds: $$B(x,y) = \displaystyle\int_0^1 (t^{x-1}+t^{y-1})(1+t)^{-x-y} \mathrm{d}t,$$ where $B$ denotes the beta function. ==Proof== ==R...") |
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Revision as of 22:50, 24 June 2017
Theorem
The following formula holds: $$B(x,y) = \displaystyle\int_0^1 (t^{x-1}+t^{y-1})(1+t)^{-x-y} \mathrm{d}t,$$ where $B$ denotes the beta function.
