DLMF:5.11.E10 (Q2132)

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No description defined

Language	Label	Description	Also known as
English	DLMF:5.11.E10	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\Gamma\left(z\right)=e^{-z}z^{z}\left(\frac{2\pi}{% z}\right)^{1/2}\left(\sum_{k=0}^{K-1}\frac{g_{k}}{z^{k}}+R_{K}(z)\right),}}

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DLMF:5.11.E10

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{\displaystyle{\displaystyle K=1,2,3,\dots}}

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Defining formula

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

C5.S2.E1.m2aedec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2aedec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2acdec

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Defining formula

{\displaystyle{\displaystyle k}}

C5.S1.XMD4.m1fdec

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Defining formula

{\displaystyle{\displaystyle z}}

C5.S1.XMD7.m1edec

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Defining formula

{\displaystyle{\displaystyle g_{k}}}

C5.S11.XMD1.m1cdec

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remainder (locally)

Defining formula

{\displaystyle{\displaystyle R_{K}(z)}}

C5.S11.XMD3.m1dec

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Sitelinks

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