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Formula:2944

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Digital Library of Mathematical Functions ID 6.5.E6

Ci ⁡ ( z ) = - 1 2 ⁢ ( E 1 ⁡ ( i ⁢ z ) + E 1 ⁡ ( - i ⁢ z ) ) , cosine-integral 𝑧 1 2 exponential-integral 𝑖 𝑧 exponential-integral 𝑖 𝑧 {\displaystyle{\displaystyle\mathrm{Ci}\left(z\right)=-\tfrac{1}{2}(E_{1}\left% (iz\right)+E_{1}\left(-iz\right)),}}


Constraint(s)

Symbols List

  • Ci ⁡ ( z ) cosine-integral 𝑧 {\displaystyle{\displaystyle\mathrm{Ci}\left(\NVar{z}\right)}} : cosine integral
  • E 1 ⁡ ( z ) exponential-integral 𝑧 {\displaystyle{\displaystyle E_{1}\left(\NVar{z}\right)}} : exponential integral
  • 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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