Formula:1568

Digital Library of Mathematical Functions ID 4.2.E29

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

Symbols List

• ${\displaystyle{\displaystyle\exp\NVar{z}}}$: exponential function
• ${\displaystyle{\displaystyle\Im}}$: imaginary part
• ${\displaystyle{\displaystyle\operatorname{ph}}}$: phase
• ${\displaystyle{\displaystyle\Re}}$: real part
• ${\displaystyle{\displaystyle a}}$: real or complex constant
• ${\displaystyle{\displaystyle z}}$: complex variable
 

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