DLMF:8.10.E2 (Q2555)

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DLMF:8.10.E2
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    Statements

    test
    γ ⁡ ( a , x ) ≥ x a - 1 a ⁢ ( 1 - e - x ) , incomplete-gamma 𝑎 𝑥 superscript 𝑥 𝑎 1 𝑎 1 superscript 𝑒 𝑥 {\displaystyle{\displaystyle\gamma\left(a,x\right)\geq\frac{x^{a-1}}{a}(1-e^{-% x}),}}
    0 references
    DLMF id
    DLMF:8.10.E2
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    constraint
    0 < a ≤ 1 0 𝑎 1 {\displaystyle{\displaystyle 0<a\leq 1}}
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    Symbols used
    base of natural logarithm
    test
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2aadec
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    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.m2adec
    0 references
     
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