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Formula:2928

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Digital Library of Mathematical Functions ID 6.2.E19

Si ⁡ ( z ) = 1 2 ⁢ π - f ⁡ ( z ) ⁢ cos ⁡ z - g ⁡ ( z ) ⁢ sin ⁡ z , sine-integral 𝑧 1 2 𝜋 sine-cosine-integral-f 𝑧 𝑧 sine-cosine-integral-g 𝑧 𝑧 {\displaystyle{\displaystyle\mathrm{Si}\left(z\right)=\tfrac{1}{2}\pi-\mathrm{% f}\left(z\right)\cos z-\mathrm{g}\left(z\right)\sin z,}}


Constraint(s)

Symbols List

  • π {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}} : cosine function
  • sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}} : sine function
  • f ⁡ ( z ) sine-cosine-integral-f 𝑧 {\displaystyle{\displaystyle\mathrm{f}\left(\NVar{z}\right)}} : auxiliary function for sine and cosine integrals
  • g ⁡ ( z ) sine-cosine-integral-g 𝑧 {\displaystyle{\displaystyle\mathrm{g}\left(\NVar{z}\right)}} : auxiliary function for sine and cosine integrals
  • Si ⁡ ( z ) sine-integral 𝑧 {\displaystyle{\displaystyle\mathrm{Si}\left(\NVar{z}\right)}} : sine integral
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  •  Edit this on Wikidata

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