DLMF:8.10.E5 (Q2558)

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DLMF:8.10.E5
No description defined

    Statements

    test
    A n < x 1 - a ⁢ e x ⁢ Γ ⁡ ( a , x ) < B n , subscript 𝐴 𝑛 superscript 𝑥 1 𝑎 superscript 𝑒 𝑥 incomplete-Gamma 𝑎 𝑥 subscript 𝐵 𝑛 {\displaystyle{\displaystyle A_{n}<x^{1-a}e^{x}\Gamma\left(a,x\right)<B_{n},}}
    0 references
    DLMF id
    DLMF:8.10.E5
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    constraint
    a < 1 𝑎 1 {\displaystyle{\displaystyle a<1}}
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    Symbols used
    base of natural logarithm
    test
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2acdec
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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.E2.m2abdec
    0 references
    Q11332
    test
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C8.S1.XMD1.m1ddec
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    Q11324
    test
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C8.S1.XMD3.m1ddec
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    Q11329
    test
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C8.S1.XMD6.m1dec
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    Q11336
    test
    A n subscript 𝐴 𝑛 {\displaystyle{\displaystyle A_{n}}}
    xml-id
    C8.S10.XMD2.m1dec
    0 references
    Q11337
    test
    B n subscript 𝐵 𝑛 {\displaystyle{\displaystyle B_{n}}}
    xml-id
    C8.S10.XMD3.m1dec
    0 references
     
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