DLMF:8.19.E4 (Q2690)

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Language	Label	Description	Also known as
English	DLMF:8.19.E4	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle E_{p}\left(z\right)=\frac{z^{p-1}e^{-z}}{\Gamma% \left(p\right)}\int_{0}^{\infty}\frac{t^{p-1}e^{-zt}}{1+t}\mathrm{d}t,}}

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DLMF:8.19.E4

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{\displaystyle{\displaystyle|\operatorname{ph}z|<\tfrac{1}{2}\pi}}

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{\displaystyle{\displaystyle\Re p>0}}

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Defining formula

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

C5.S2.E1.m2adec

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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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Defining formula

{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

C1.S4.SS4.m1abdec

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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.m2acdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3abdec

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Defining formula

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

C1.S9.E7.m1aadec

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Defining formula

{\displaystyle{\displaystyle\Re}}

C1.S9.E2.m1adec

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Defining formula

{\displaystyle{\displaystyle z}}

C8.S1.XMD2.m1cdec

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Sitelinks

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