DLMF:8.19.E18 (Q2704): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:8.19.E18	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle E_{p}\left(ze^{2m\pi i}\right)=\frac{2\pi ie^{mp% \pi i}}{\Gamma\left(p\right)}\frac{\sin\left(mp\pi\right)}{\sin\left(p\pi% \right)}z^{p-1}+E_{p}\left(z\right),}}

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DLMF:8.19.E18

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{\displaystyle{\displaystyle m\in\mathbb{Z}}}

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{\displaystyle{\displaystyle m\in\mathbb{Z}}}

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{\displaystyle{\displaystyle z\neq 0}}

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Defining formula

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

C5.S2.E1.m2addec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2acdec

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Defining formula

{\displaystyle{\displaystyle\in}}

introduction.Sx4.p1.t1.r10.m2adec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2aldec

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generalized exponential integral

Defining formula

{\displaystyle{\displaystyle E_{\NVar{p}}\left(\NVar{z}\right)}}

C8.S19.E1.m2avdec

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Defining formula

{\displaystyle{\displaystyle\mathrm{i}}}

C1.S9.E1.m2addec

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Defining formula

{\displaystyle{\displaystyle\mathbb{Z}}}

introduction.Sx4.p2.t1.r20.m2adec

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Defining formula

{\displaystyle{\displaystyle\sin\NVar{z}}}

C4.S14.E1.m2adec

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Defining formula

{\displaystyle{\displaystyle z}}

C8.S1.XMD2.m1pdec

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Sitelinks

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