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Formula:2989

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Digital Library of Mathematical Functions ID 6.12.E3

f ⁡ ( z ) ∼ 1 z ⁢ ( 1 - 2 ! z 2 + 4 ! z 4 - 6 ! z 6 + ⋯ ) , asymptotic-expansion sine-cosine-integral-f 𝑧 1 𝑧 1 2 superscript 𝑧 2 4 superscript 𝑧 4 6 superscript 𝑧 6 ⋯ {\displaystyle{\displaystyle\mathrm{f}\left(z\right)\sim\frac{1}{z}\left(1-% \frac{2!}{z^{2}}+\frac{4!}{z^{4}}-\frac{6!}{z^{6}}+\cdots\right),}}


Constraint(s)

Symbols List

  • ∼ asymptotic-expansion {\displaystyle{\displaystyle\sim}} :
  • ! {\displaystyle{\displaystyle!}} :
  • f ⁡ ( z ) sine-cosine-integral-f 𝑧 {\displaystyle{\displaystyle\mathrm{f}\left(\NVar{z}\right)}} : auxiliary function for sine and cosine integrals
  • 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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