DLMF:5.14.E5 (Q2167)

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Language	Label	Description	Also known as
English	DLMF:5.14.E5	No description defined

Statements

Defining formula

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

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DLMF:5.14.E5

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Defining formula

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

C5.S2.E1.m2acdec

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Defining formula

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

introduction.Sx4.p2.t1.r1.m4adec

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Defining formula

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

C1.S4.SS4.m1acdec

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base of natural logarithm

Defining formula

{\displaystyle{\displaystyle\mathrm{e}}}

C4.S2.E11.m2adec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3acdec

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Defining formula

{\displaystyle{\displaystyle m}}

C5.S1.XMD2.m1adec

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Defining formula

{\displaystyle{\displaystyle n}}

C5.S1.XMD3.m1ddec

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Defining formula

{\displaystyle{\displaystyle k}}

C5.S1.XMD4.m1cdec

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Defining formula

{\displaystyle{\displaystyle a}}

C5.S1.XMD8.m1adec

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product (locally)

Defining formula

{\displaystyle{\displaystyle\Delta}}

C5.S14.XMD2.m1bdec

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Sitelinks

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