DLMF:8.4.E15 (Q2509): Difference between revisions

Revision as of 13:40, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:8.4.E15	No description defined

{\displaystyle{\displaystyle\Gamma\left(-n,z\right)=\frac{(-1)^{n}}{n!}\left(E% _{1}\left(z\right)-e^{-z}\sum_{k=0}^{n-1}\frac{(-1)^{k}k!}{z^{k+1}}\right)=% \frac{(-1)^{n}}{n!}\left(\psi\left(n+1\right)-\ln z\right)-z^{-n}\sum_{% \begin{subarray}{c}k=0\\ k\neq n\end{subarray}}^{\infty}\frac{(-z)^{k}}{k!(k-n)}.}}

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DLMF:8.4.E15

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

C5.S2.E2.m2adec

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

C4.S2.E11.m2ajdec

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{\displaystyle{\displaystyle E_{1}\left(\NVar{z}\right)}}

C6.S2.E1.m2aadec

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@@ Property / Symbols used @@
+exponential integral
@@ Property / Symbols used: exponential integral / rank @@
+Normal rank
@@ Property / Symbols used: exponential integral / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle E_{1}\left(\NVar{z}\right)}}$ 
\expintE@{\NVar{z}}
@@ Property / Symbols used: exponential integral / qualifier @@
+xml-id: C6.S2.E1.m2aadec