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Formula:3424

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Digital Library of Mathematical Functions ID 8.21.E5

ci ⁡ ( a , z ) = ∫ z ∞ t a - 1 ⁢ cos ⁡ t ⁢ d t , generalized-cosine-integral-ci 𝑎 𝑧 superscript subscript 𝑧 superscript 𝑡 𝑎 1 𝑡 𝑡 {\displaystyle{\displaystyle\mathrm{ci}\left(a,z\right)=\int_{z}^{\infty}t^{a-% 1}\cos t\mathrm{d}t,}}


Constraint(s)

ℜ ⁡ a < 1 𝑎 1 {\displaystyle{\displaystyle\Re a<1}}

Symbols List

  • cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}} : cosine function
  • d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • ci ⁡ ( a , z ) generalized-cosine-integral-ci 𝑎 𝑧 {\displaystyle{\displaystyle\mathrm{ci}\left(\NVar{a},\NVar{z}\right)}} : generalized cosine integral
  • ∫ {\displaystyle{\displaystyle\int}} : integral
  • ℜ ⁡ absent {\displaystyle{\displaystyle\Re}} : real part
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  • a 𝑎 {\displaystyle{\displaystyle a}} : parameter
  •  Edit this on Wikidata

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