DLMF:8.19.E9 (Q2695)

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Language	Label	Description	Also known as
English	DLMF:8.19.E9	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle E_{n}\left(z\right)=\frac{(-1)^{n}z^{n-1}}{(n-1)!% }\ln z+\frac{e^{-z}}{(n-1)!}\sum_{k=1}^{n-1}(-z)^{k-1}\Gamma\left(n-k\right)+% \frac{e^{-z}(-z)^{n-1}}{(n-1)!}\sum_{k=0}^{\infty}\frac{z^{k}}{k!}\psi\left(k+% 1\right),}}

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DLMF:8.19.E9

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Defining formula

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

C5.S2.E1.m2aadec

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psi (or digamma) function

Defining formula

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

C5.S2.E2.m2aadec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2aedec

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generalized exponential integral

Defining formula

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

C8.S19.E1.m2amdec

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5abdec

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principal branch of logarithm function

Defining formula

{\displaystyle{\displaystyle\ln\NVar{z}}}

C4.S2.E2.m2aadec

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Defining formula

{\displaystyle{\displaystyle z}}

C8.S1.XMD2.m1gdec

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Defining formula

{\displaystyle{\displaystyle k}}

C8.S1.XMD5.m1bdec

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Sitelinks

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