DLMF:4.2.E5

MaRDI QIDQ1544

• Label: DLMF:4.2.E5

Digital Library of Mathematical Functions ID 4.2.E5

${\displaystyle{\displaystyle\ln z=\ln\left|z\right|+\mathrm{i}\operatorname{ph}z,}}$

Constraint(s)

${\displaystyle{\displaystyle-\pi<\operatorname{ph}z\leq\pi}}$

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
• ${\displaystyle{\displaystyle\operatorname{ph}}}$: phase
• ${\displaystyle{\displaystyle z}}$: complex variable
 

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