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Formula:2990

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Digital Library of Mathematical Functions ID 6.12.E4

g ⁡ ( z ) ∼ 1 z 2 ⁢ ( 1 - 3 ! z 2 + 5 ! z 4 - 7 ! z 6 + ⋯ ) , asymptotic-expansion sine-cosine-integral-g 𝑧 1 superscript 𝑧 2 1 3 superscript 𝑧 2 5 superscript 𝑧 4 7 superscript 𝑧 6 ⋯ {\displaystyle{\displaystyle\mathrm{g}\left(z\right)\sim\frac{1}{z^{2}}\left(1% -\frac{3!}{z^{2}}+\frac{5!}{z^{4}}-\frac{7!}{z^{6}}+\cdots\right),}}


Constraint(s)

Symbols List

  • ∼ asymptotic-expansion {\displaystyle{\displaystyle\sim}} :
  • ! {\displaystyle{\displaystyle!}} :
  • g ⁡ ( z ) sine-cosine-integral-g 𝑧 {\displaystyle{\displaystyle\mathrm{g}\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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