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Formula:3338

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Digital Library of Mathematical Functions ID 8.15.E1

γ ⁡ ( a , λ ⁢ x ) = λ a ⁢ ∑ k = 0 ∞ γ ⁡ ( a + k , x ) ⁢ ( 1 - λ ) k k ! . incomplete-gamma 𝑎 𝜆 𝑥 superscript 𝜆 𝑎 superscript subscript 𝑘 0 incomplete-gamma 𝑎 𝑘 𝑥 superscript 1 𝜆 𝑘 𝑘 {\displaystyle{\displaystyle\gamma\left(a,\lambda x\right)=\lambda^{a}\sum_{k=% 0}^{\infty}\gamma\left(a+k,x\right)\frac{(1-\lambda)^{k}}{k!}.}}


Constraint(s)

Symbols List

  • ! {\displaystyle{\displaystyle!}} :
  • γ ⁡ ( a , z ) incomplete-gamma 𝑎 𝑧 {\displaystyle{\displaystyle\gamma\left(\NVar{a},\NVar{z}\right)}} : incomplete gamma function
  • x 𝑥 {\displaystyle{\displaystyle x}} : real variable
  • a 𝑎 {\displaystyle{\displaystyle a}} : parameter
  • k 𝑘 {\displaystyle{\displaystyle k}} : nonnegative integer
  •  Edit this on Wikidata

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