Formula:1546

Digital Library of Mathematical Functions ID 4.2.E7

${\displaystyle{\displaystyle\ln\left(x\pm\mathrm{i}0\right)=\ln|x|\pm i\pi,}}$

Constraint(s)

${\displaystyle{\displaystyle-\infty<x<0}}$

Symbols List

• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\mathrm{i}}}$: imaginary unit
• ${\displaystyle{\displaystyle\ln\NVar{z}}}$: principal branch of logarithm function
• ${\displaystyle{\displaystyle x}}$: real variable
 

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