DLMF:8.15.E1 (Q2640)

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DLMF:8.15.E1
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    Statements

    Defining formula
    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!}.}}
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    DLMF id
    DLMF:8.15.E1
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    Symbols used
    Q10755
    Defining formula
    ! {\displaystyle{\displaystyle!}}
    xml-id
    introduction.Sx4.p1.t1.r15.m5adec
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    incomplete gamma function
    Defining formula
    γ ⁡ ( a , z ) incomplete-gamma 𝑎 𝑧 {\displaystyle{\displaystyle\gamma\left(\NVar{a},\NVar{z}\right)}}
    xml-id
    C8.S2.E1.m2adec
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