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Formula:2935

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Digital Library of Mathematical Functions ID 6.4.E4

Ci ⁡ ( z ⁢ e ± π ⁢ i ) = ± π ⁢ i + Ci ⁡ ( z ) , cosine-integral 𝑧 superscript 𝑒 plus-or-minus 𝜋 𝑖 plus-or-minus 𝜋 𝑖 cosine-integral 𝑧 {\displaystyle{\displaystyle\mathrm{Ci}\left(ze^{\pm\pi i}\right)=\pm\pi i+% \mathrm{Ci}\left(z\right),}}


Constraint(s)

Symbols List

  • π {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • Ci ⁡ ( z ) cosine-integral 𝑧 {\displaystyle{\displaystyle\mathrm{Ci}\left(\NVar{z}\right)}} : cosine integral
  • e {\displaystyle{\displaystyle\mathrm{e}}} : base of natural logarithm
  • i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}} : imaginary unit
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
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This page was last edited on 28 January 2024, at 10:30.
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