DLMF:8.15.E1 (Q2640): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11330 / rank
 
Normal rank
Property / Symbols used: Q11330 / qualifier
 
Defining formula:

k 𝑘 {\displaystyle{\displaystyle k}}

k
Property / Symbols used: Q11330 / qualifier
 
xml-id: C8.S1.XMD5.m1dec

Latest revision as of 14:01, 2 January 2020

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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!}.}}
    0 references
    DLMF id
    DLMF:8.15.E1
    0 references
    Symbols used
    Q10755
    Defining formula
    ! {\displaystyle{\displaystyle!}}
    xml-id
    introduction.Sx4.p1.t1.r15.m5adec
    0 references
    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
    0 references
    Q11332
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C8.S1.XMD1.m1dec
    0 references
    Q11324
    Defining formula
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C8.S1.XMD3.m1dec
    0 references
    Q11330
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C8.S1.XMD5.m1dec
    0 references
     
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