DLMF:5.14.E4 (Q2166): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:5.14.E4	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\int_{[0,1]^{n}}t_{1}t_{2}\cdots t_{m}|\Delta(t_{1% },\dots,t_{n})|^{2c}\prod_{k=1}^{n}t_{k}^{a-1}(1-t_{k})^{b-1}\mathrm{d}t_{k}=% \frac{1}{(\Gamma\left(1+c\right))^{n}}\prod_{k=1}^{m}\frac{a+(n-k)c}{a+b+(2n-k% -1)c}\*\prod_{k=1}^{n}\frac{\Gamma\left(a+(n-k)c\right)\Gamma\left(b+(n-k)c% \right)\Gamma\left(1+kc\right)}{\Gamma\left(a+b+(2n-k-1)c\right)},}}

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DLMF:5.14.E4

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Defining formula

{\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}

C5.S2.E1.m2abdec

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Defining formula

{\displaystyle{\displaystyle[\NVar{a},\NVar{b}]}}

introduction.Sx4.p1.t1.r30.m6adec

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Defining formula

{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

C1.S4.SS4.m1abdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3abdec

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Defining formula

{\displaystyle{\displaystyle m}}

C5.S1.XMD2.m1dec

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Defining formula

{\displaystyle{\displaystyle n}}

C5.S1.XMD3.m1cdec

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Defining formula

{\displaystyle{\displaystyle k}}

C5.S1.XMD4.m1bdec

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Defining formula

{\displaystyle{\displaystyle a}}

C5.S1.XMD8.m1dec

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Defining formula

{\displaystyle{\displaystyle b}}

C5.S1.XMD9.m1dec

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Sitelinks

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