DLMF:5.17.E3 (Q2183)

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Language	Label	Description	Also known as
English	DLMF:5.17.E3	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle G\left(z+1\right)=(2\pi)^{z/2}\exp\left(-\tfrac{1% }{2}z(z+1)-\tfrac{1}{2}\gamma z^{2}\right)\*\prod_{k=1}^{\infty}\left(\left(1+% \frac{z}{k}\right)^{k}\exp\left(-z+\frac{z^{2}}{2k}\right)\right).}}

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DLMF:5.17.E3

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Defining formula

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

C5.S17.E1.m1abdec

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Euler’s constant

Defining formula

{\displaystyle{\displaystyle\gamma}}

C5.S2.E3.m2adec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2adec

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exponential function

Defining formula

{\displaystyle{\displaystyle\exp\NVar{z}}}

C4.S2.E19.m2adec

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Defining formula

{\displaystyle{\displaystyle k}}

C5.S1.XMD4.m1dec

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Sitelinks

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