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Formula:3448

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Digital Library of Mathematical Functions ID 8.22.E1

F p ⁡ ( z ) = Γ ⁡ ( p ) 2 ⁢ π ⁢ z 1 - p ⁢ E p ⁡ ( z ) = Γ ⁡ ( p ) 2 ⁢ π ⁢ Γ ⁡ ( 1 - p , z ) , terminant-function 𝑝 𝑧 Euler-Gamma 𝑝 2 𝜋 superscript 𝑧 1 𝑝 exponential-integral-En 𝑝 𝑧 Euler-Gamma 𝑝 2 𝜋 incomplete-Gamma 1 𝑝 𝑧 {\displaystyle{\displaystyle F_{p}\left(z\right)=\frac{\Gamma\left(p\right)}{2% \pi}z^{1-p}E_{p}\left(z\right)=\frac{\Gamma\left(p\right)}{2\pi}\Gamma\left(1-% p,z\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
  • E p ⁡ ( z ) exponential-integral-En 𝑝 𝑧 {\displaystyle{\displaystyle E_{\NVar{p}}\left(\NVar{z}\right)}} : generalized exponential integral
  • Γ ⁡ ( a , z ) incomplete-Gamma 𝑎 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{a},\NVar{z}\right)}} : incomplete gamma function
  • F p ⁡ ( z ) terminant-function 𝑝 𝑧 {\displaystyle{\displaystyle F_{\NVar{p}}\left(\NVar{z}\right)}} : terminant function
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  • p 𝑝 {\displaystyle{\displaystyle p}} : parameter
  •  Edit this on Wikidata

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