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Formula:2918

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Digital Library of Mathematical Functions ID 6.2.E10

si ⁡ ( z ) = - ∫ z ∞ sin ⁡ t t ⁢ d t = Si ⁡ ( z ) - 1 2 ⁢ π . shifted-sine-integral 𝑧 superscript subscript 𝑧 𝑡 𝑡 𝑡 sine-integral 𝑧 1 2 𝜋 {\displaystyle{\displaystyle\mathrm{si}\left(z\right)=-\int_{z}^{\infty}\frac{% \sin t}{t}\mathrm{d}t=\mathrm{Si}\left(z\right)-\tfrac{1}{2}\pi.}}


Constraint(s)

Symbols List

  • π {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • ∫ {\displaystyle{\displaystyle\int}} : integral
  • sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}} : sine function
  • 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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