DLMF:4.8.E6 (Q1597): Difference between revisions

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Property / constraint
 

- π n ph z π 𝜋 𝑛 phase 𝑧 𝜋 {\displaystyle{\displaystyle-\pi\leq n\operatorname{ph}z\leq\pi}}

-\pi\leq n\phase@@{z}\leq\pi
Property / constraint: - π n ph z π 𝜋 𝑛 phase 𝑧 𝜋 {\displaystyle{\displaystyle-\pi\leq n\operatorname{ph}z\leq\pi}} / rank
 
Normal rank

Revision as of 15:59, 30 December 2019

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DLMF:4.8.E6
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    Statements

    ln ( z n ) = n ln z , superscript 𝑧 𝑛 𝑛 𝑧 {\displaystyle{\displaystyle\ln\left(z^{n}\right)=n\ln z,}}
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    n 𝑛 {\displaystyle{\displaystyle n\in\mathbb{Z}}}
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    - π n ph z π 𝜋 𝑛 phase 𝑧 𝜋 {\displaystyle{\displaystyle-\pi\leq n\operatorname{ph}z\leq\pi}}
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