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Formula:3234

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Digital Library of Mathematical Functions ID 8.8.E4

z ⁢ γ * ⁡ ( a + 1 , z ) = γ * ⁡ ( a , z ) - e - z Γ ⁡ ( a + 1 ) . 𝑧 incomplete-gamma-star 𝑎 1 𝑧 incomplete-gamma-star 𝑎 𝑧 superscript 𝑒 𝑧 Euler-Gamma 𝑎 1 {\displaystyle{\displaystyle z\gamma^{*}\left(a+1,z\right)=\gamma^{*}\left(a,z% \right)-\frac{e^{-z}}{\Gamma\left(a+1\right)}.}}


Constraint(s)

Symbols List

  • Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}} : gamma function
  • 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
  • a 𝑎 {\displaystyle{\displaystyle a}} : parameter
  •  Edit this on Wikidata

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This page was last edited on 3 March 2024, at 01:49.
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