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Formula:3195

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Digital Library of Mathematical Functions ID 8.4.E3

γ * ⁡ ( 1 2 , - z 2 ) = 2 ⁢ e z 2 z ⁢ π ⁢ F ⁡ ( z ) . incomplete-gamma-star 1 2 superscript 𝑧 2 2 superscript 𝑒 superscript 𝑧 2 𝑧 𝜋 Dawsons-integral 𝑧 {\displaystyle{\displaystyle\gamma^{*}\left(\tfrac{1}{2},-z^{2}\right)=\frac{2% e^{z^{2}}}{z\sqrt{\pi}}F\left(z\right).}}


Constraint(s)

Symbols List

  • F ⁡ ( z ) Dawsons-integral 𝑧 {\displaystyle{\displaystyle F\left(\NVar{z}\right)}} : Dawson’s integral
  • π {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • e {\displaystyle{\displaystyle\mathrm{e}}} : base of natural logarithm
  • γ * ⁡ ( a , z ) incomplete-gamma-star 𝑎 𝑧 {\displaystyle{\displaystyle\gamma^{*}\left(\NVar{a},\NVar{z}\right)}} : incomplete gamma function
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  •  Edit this on Wikidata

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