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Formula:2051

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Digital Library of Mathematical Functions ID 4.23.E33

w = Arctan ⁡ z = arctan ⁡ z + k ⁢ π , 𝑤 multivalued-inverse-tangent 𝑧 𝑧 𝑘 𝜋 {\displaystyle{\displaystyle w=\operatorname{Arctan}z=\operatorname{arctan}z+k% \pi,}}


Constraint(s)

z ≠ ± i 𝑧 plus-or-minus imaginary-unit {\displaystyle{\displaystyle z\neq\pm\mathrm{i}}}

Symbols List

  • π {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}} : imaginary unit
  • arctan ⁡ z 𝑧 {\displaystyle{\displaystyle\operatorname{arctan}\NVar{z}}} :
  • Arctan ⁡ z multivalued-inverse-tangent 𝑧 {\displaystyle{\displaystyle\operatorname{Arctan}\NVar{z}}} : general arctangent function
  • k 𝑘 {\displaystyle{\displaystyle k}} : integer
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  •  Edit this on Wikidata

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