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Formula:2950

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Digital Library of Mathematical Functions ID 6.6.E5

Si ⁡ ( z ) = ∑ n = 0 ∞ ( - 1 ) n ⁢ z 2 ⁢ n + 1 ( 2 ⁢ n + 1 ) ! ⁢ ( 2 ⁢ n + 1 ) , sine-integral 𝑧 superscript subscript 𝑛 0 superscript 1 𝑛 superscript 𝑧 2 𝑛 1 2 𝑛 1 2 𝑛 1 {\displaystyle{\displaystyle\mathrm{Si}\left(z\right)=\sum_{n=0}^{\infty}\frac% {(-1)^{n}z^{2n+1}}{(2n+1)!(2n+1)},}}


Constraint(s)

Symbols List

  • ! {\displaystyle{\displaystyle!}} :
  • Si ⁡ ( z ) sine-integral 𝑧 {\displaystyle{\displaystyle\mathrm{Si}\left(\NVar{z}\right)}} : sine integral
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
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This page was last edited on 28 January 2024, at 10:30.
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