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Formula:5858

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Digital Library of Mathematical Functions ID 15.12.E1

α ± = arctan ⁡ ( ph ⁡ z - ph ⁡ ( 1 - z ) ∓ π ln ⁡ | 1 - z - 1 | ) , subscript 𝛼 plus-or-minus minus-or-plus phase 𝑧 phase 1 𝑧 𝜋 1 superscript 𝑧 1 {\displaystyle{\displaystyle\alpha_{\pm}=\operatorname{arctan}\left(\frac{% \operatorname{ph}z-\operatorname{ph}\left(1-z\right)\mp\pi}{\ln|1-z^{-1}|}% \right),}}


Constraint(s)

Symbols List

  • π {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • arctan ⁡ z 𝑧 {\displaystyle{\displaystyle\operatorname{arctan}\NVar{z}}} :
  • ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}} : principal branch of logarithm function
  • ph phase {\displaystyle{\displaystyle\operatorname{ph}}} : phase
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  • α ± subscript 𝛼 plus-or-minus {\displaystyle{\displaystyle\alpha_{\pm}}} : α ±
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 10:30.
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