Formula:1679

Digital Library of Mathematical Functions ID 4.8.E8

${\displaystyle{\displaystyle\operatorname{Ln}\left(\exp z\right)=z+2k\pi\mathrm{i},}}$

Constraint(s)

${\displaystyle{\displaystyle k\in\mathbb{Z}}}$

Symbols List

• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\in}}$:
• ${\displaystyle{\displaystyle\exp\NVar{z}}}$: exponential function
• ${\displaystyle{\displaystyle\mathrm{i}}}$: imaginary unit
• ${\displaystyle{\displaystyle\mathbb{Z}}}$:
• ${\displaystyle{\displaystyle\operatorname{Ln}\NVar{z}}}$: general logarithm function
• ${\displaystyle{\displaystyle k}}$: integer
• ${\displaystyle{\displaystyle z}}$: complex variable
 

Resources that cite this formula

No records found.