DLMF:5.8.E5 (Q2089)

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Language	Label	Description	Also known as
English	DLMF:5.8.E5	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\prod_{k=0}^{\infty}\frac{(a_{1}+k)(a_{2}+k)\cdots% (a_{m}+k)}{(b_{1}+k)(b_{2}+k)\cdots(b_{m}+k)}=\frac{\Gamma\left(b_{1}\right)% \Gamma\left(b_{2}\right)\cdots\Gamma\left(b_{m}\right)}{\Gamma\left(a_{1}% \right)\Gamma\left(a_{2}\right)\cdots\Gamma\left(a_{m}\right)},}}

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DLMF:5.8.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 m}}

C5.S1.XMD2.m1adec

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Defining formula

{\displaystyle{\displaystyle k}}

C5.S1.XMD4.m1ddec

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coefficient (locally)

Defining formula

{\displaystyle{\displaystyle a_{k}}}

C5.S8.XMD1.m1adec

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coefficient (locally)

Defining formula

{\displaystyle{\displaystyle b_{k}}}

C5.S8.XMD2.m1adec

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Sitelinks

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