Formula:2947

Digital Library of Mathematical Functions ID 6.6.E2

${\displaystyle{\displaystyle E_{1}\left(z\right)=-\gamma-\ln z-\sum_{n=1}^{\infty}\frac{(-1)^{n}z^{n}}{n!\thinspace n}.}}$

Symbols List

• ${\displaystyle{\displaystyle\gamma}}$: Euler’s constant
• ${\displaystyle{\displaystyle E_{1}\left(\NVar{z}\right)}}$: exponential integral
• ${\displaystyle{\displaystyle!}}$:
• ${\displaystyle{\displaystyle\ln\NVar{z}}}$: principal branch of logarithm function
• ${\displaystyle{\displaystyle z}}$: complex variable
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
 

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