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Formula:3061

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Digital Library of Mathematical Functions ID 7.6.E4

C ⁡ ( z ) = ∑ n = 0 ∞ ( - 1 ) n ⁢ ( 1 2 ⁢ π ) 2 ⁢ n ( 2 ⁢ n ) ! ⁢ ( 4 ⁢ n + 1 ) ⁢ z 4 ⁢ n + 1 , Fresnel-cosine-integral 𝑧 superscript subscript 𝑛 0 superscript 1 𝑛 superscript 1 2 𝜋 2 𝑛 2 𝑛 4 𝑛 1 superscript 𝑧 4 𝑛 1 {\displaystyle{\displaystyle C\left(z\right)=\sum_{n=0}^{\infty}\frac{(-1)^{n}% (\frac{1}{2}\pi)^{2n}}{(2n)!(4n+1)}z^{4n+1},}}


Constraint(s)

Symbols List

  • C ⁡ ( z ) Fresnel-cosine-integral 𝑧 {\displaystyle{\displaystyle C\left(\NVar{z}\right)}} : Fresnel integral
  • π {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • ! {\displaystyle{\displaystyle!}} :
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
  •  Edit this on Wikidata

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