DLMF:8.10.E11 (Q2568)

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DLMF:8.10.E11
No description defined

    Statements

    test
    ( 1 - e - α a ⁢ x ) a ≤ P ⁡ ( a , x ) ≤ ( 1 - e - β a ⁢ x ) a , superscript 1 superscript 𝑒 subscript 𝛼 𝑎 𝑥 𝑎 incomplete-gamma-P 𝑎 𝑥 superscript 1 superscript 𝑒 subscript 𝛽 𝑎 𝑥 𝑎 {\displaystyle{\displaystyle(1-e^{-\alpha_{a}x})^{a}\leq P\left(a,x\right)\leq% (1-e^{-\beta_{a}x})^{a},}}
    0 references
    DLMF id
    DLMF:8.10.E11
    0 references
    constraint
    a > 0 𝑎 0 {\displaystyle{\displaystyle a>0}}
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    Symbols used
    base of natural logarithm
    test
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2agdec
    0 references
    Q11325
    test
    P ⁡ ( a , z ) incomplete-gamma-P 𝑎 𝑧 {\displaystyle{\displaystyle P\left(\NVar{a},\NVar{z}\right)}}
    xml-id
    C8.S2.E4.m1adec
    0 references
    Q11332
    test
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C8.S1.XMD1.m1idec
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    Q11324
    test
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C8.S1.XMD3.m1jdec
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    Q11340
    test
    α a subscript 𝛼 𝑎 {\displaystyle{\displaystyle\alpha_{a}}}
    xml-id
    C8.S10.XMD7.m1dec
    0 references
    Q11341
    test
    β a subscript 𝛽 𝑎 {\displaystyle{\displaystyle\beta_{a}}}
    xml-id
    C8.S10.XMD8.m1dec
    0 references
     
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