Formula:1667

Digital Library of Mathematical Functions ID 4.8.E2

${\displaystyle{\displaystyle\ln\left(z_{1}z_{2}\right)=\ln z_{1}+\ln z_{2},}}$

Constraint(s)

${\displaystyle{\displaystyle-\pi\leq\operatorname{ph}z_{1}+\operatorname{ph}z_{2}\leq\pi}}$

Symbols List

• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\ln\NVar{z}}}$: principal branch of logarithm function
• ${\displaystyle{\displaystyle\operatorname{ph}}}$: phase
• ${\displaystyle{\displaystyle z}}$: complex variable
 

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