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Formula:3529

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Digital Library of Mathematical Functions ID 9.7.E22

G p ⁡ ( z ) = e z 2 ⁢ π ⁢ Γ ⁡ ( p ) ⁢ Γ ⁡ ( 1 - p , z ) . rescaled-terminant-function 𝑝 𝑧 superscript 𝑒 𝑧 2 𝜋 Euler-Gamma 𝑝 incomplete-Gamma 1 𝑝 𝑧 {\displaystyle{\displaystyle G_{p}\left(z\right)=\frac{e^{z}}{2\pi}\Gamma\left% (p\right)\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 {\displaystyle{\displaystyle\mathrm{e}}} : base of natural logarithm
  • Γ ⁡ ( a , z ) incomplete-Gamma 𝑎 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{a},\NVar{z}\right)}} : incomplete gamma function
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
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