Formula:1569

Digital Library of Mathematical Functions ID 4.2.E30

${\displaystyle{\displaystyle\operatorname{ph}\left(z^{a}\right)=(\Re a)\operatorname{ph}z+(\Im a)\ln|z|,}}$

Symbols List

• ${\displaystyle{\displaystyle\Im}}$: imaginary part
• ${\displaystyle{\displaystyle\ln\NVar{z}}}$: principal branch of logarithm function
• ${\displaystyle{\displaystyle\operatorname{ph}}}$: phase
• ${\displaystyle{\displaystyle\Re}}$: real part
• ${\displaystyle{\displaystyle a}}$: real or complex constant
• ${\displaystyle{\displaystyle z}}$: complex variable
 

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