DLMF:8.4.E2 (Q2496)

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DLMF:8.4.E2
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    Statements

    Defining formula
    γ * ⁡ ( a , 0 ) = 1 Γ ⁡ ( a + 1 ) , incomplete-gamma-star 𝑎 0 1 Euler-Gamma 𝑎 1 {\displaystyle{\displaystyle\gamma^{*}\left(a,0\right)=\frac{1}{\Gamma\left(a+% 1\right)},}}
    0 references
    DLMF id
    DLMF:8.4.E2
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    Symbols used
    gamma function
    Defining formula
    Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    xml-id
    C5.S2.E1.m2adec
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    incomplete gamma function
    Defining formula
    γ * ⁡ ( a , z ) incomplete-gamma-star 𝑎 𝑧 {\displaystyle{\displaystyle\gamma^{*}\left(\NVar{a},\NVar{z}\right)}}
    xml-id
    C8.S2.E6.m2adec
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    Q11324
    Defining formula
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C8.S1.XMD3.m1dec
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