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Formula:3025

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Digital Library of Mathematical Functions ID 7.2.E6

ℱ ⁡ ( z ) = ∫ z ∞ e 1 2 ⁢ π ⁢ i ⁢ t 2 ⁢ d t , Fresnel-integral 𝑧 superscript subscript 𝑧 superscript 𝑒 1 2 𝜋 imaginary-unit superscript 𝑡 2 𝑡 {\displaystyle{\displaystyle\mathcal{F}\left(z\right)=\int_{z}^{\infty}e^{% \tfrac{1}{2}\pi\mathrm{i}t^{2}}\mathrm{d}t,}}


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
  • e {\displaystyle{\displaystyle\mathrm{e}}} : base of natural logarithm
  • i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}} : imaginary unit
  • ∫ {\displaystyle{\displaystyle\int}} : integral
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  •  Edit this on Wikidata

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This page was last edited on 3 March 2024, at 01:48.
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