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Formula:3686

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Digital Library of Mathematical Functions ID 9.13.E24

U 2 ⁢ ( x , α ) = π 1 / 2 ⁢ m 2 / m 2 ( m + 2 ) / ( 2 ⁢ m ) ⁢ Γ ⁡ ( - 1 / m ) ⁢ ( W m ⁢ ( t ) - W m ⁢ ( - t ) ) . subscript 𝑈 2 𝑥 𝛼 superscript 𝜋 1 2 superscript 𝑚 2 𝑚 superscript 2 𝑚 2 2 𝑚 Euler-Gamma 1 𝑚 subscript 𝑊 𝑚 𝑡 subscript 𝑊 𝑚 𝑡 {\displaystyle{\displaystyle U_{2}(x,\alpha)=\frac{\pi^{1/2}m^{2/m}}{2^{(m+2)/% (2m)}\Gamma\left(-1/m\right)}\left(W_{m}(t){-}W_{m}(-t)\right).}}


Constraint(s)

Symbols List

  • Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}} : gamma function
  • π {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • α 𝛼 {\displaystyle{\displaystyle\alpha}} : parameter (locally)
  • x 𝑥 {\displaystyle{\displaystyle x}} : parameter (locally)
  • U i subscript 𝑈 𝑖 {\displaystyle{\displaystyle U_{i}}} : Smirnov’s generalized Airy function
  • m 𝑚 {\displaystyle{\displaystyle m}} : index
  • W m subscript 𝑊 𝑚 {\displaystyle{\displaystyle W_{m}}} : function (locally)
  •  Edit this on Wikidata

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This page was last edited on 3 March 2024, at 01:53.
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