DLMF:8.11.E15 (Q2588)

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DLMF:8.11.E15
No description defined

    Statements

    test
    S n ⁢ ( x ) = γ ⁡ ( n + 1 , n ⁢ x ) ( n ⁢ x ) n ⁢ e - n ⁢ x . subscript 𝑆 𝑛 𝑥 incomplete-gamma 𝑛 1 𝑛 𝑥 superscript 𝑛 𝑥 𝑛 superscript 𝑒 𝑛 𝑥 {\displaystyle{\displaystyle S_{n}(x)=\frac{\gamma\left(n+1,nx\right)}{(nx)^{n% }e^{-nx}}.}}
    0 references
    DLMF id
    DLMF:8.11.E15
    0 references
    Symbols used
    base of natural logarithm
    test
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2ajdec
    0 references
    incomplete gamma function
    test
    γ ⁡ ( a , z ) incomplete-gamma 𝑎 𝑧 {\displaystyle{\displaystyle\gamma\left(\NVar{a},\NVar{z}\right)}}
    xml-id
    C8.S2.E1.m2abdec
    0 references
    Q11332
    test
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C8.S1.XMD1.m1fdec
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    Q11329
    test
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C8.S1.XMD6.m1ddec
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    function (locally)
    test
    S n ⁢ ( x ) subscript 𝑆 𝑛 𝑥 {\displaystyle{\displaystyle S_{n}(x)}}
    xml-id
    C8.S11.XMD6.m1adec
    0 references
     
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