DLMF:8.20.E3 (Q2716)

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Language	Label	Description	Also known as
English	DLMF:8.20.E3	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle E_{p}\left(z\right)\sim\pm\frac{2\pi i}{\Gamma% \left(p\right)}e^{\mp p\pi i}z^{p-1}+\frac{e^{-z}}{z}\sum_{k=0}^{\infty}\frac{% (-1)^{k}{\left(p\right)_{k}}}{z^{k}},}}

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DLMF:8.20.E3

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{\displaystyle{\displaystyle\tfrac{1}{2}\pi+\delta\leq\pm\operatorname{ph}z% \leq\tfrac{7}{2}\pi-\delta}}

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Defining formula

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

C5.S2.E1.m2adec

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Defining formula

{\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}

C5.S2.SS3.m1abdec

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Defining formula

{\displaystyle{\displaystyle\sim}}

C2.S1.SS3.p1.m11aadec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2aadec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2abdec

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generalized exponential integral

Defining formula

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

C8.S19.E1.m2abdec

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Defining formula

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

C1.S9.E1.m2adec

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Defining formula

{\displaystyle{\displaystyle\operatorname{ph}}}

C1.S9.E7.m1aadec

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Defining formula

{\displaystyle{\displaystyle z}}

C8.S1.XMD2.m1bdec

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Defining formula

{\displaystyle{\displaystyle p}}

C8.S1.XMD4.m1bdec

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Defining formula

{\displaystyle{\displaystyle k}}

C8.S1.XMD5.m1bdec

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Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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