DLMF:5.6.E8 (Q2075)

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DLMF:5.6.E8
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    Statements

    test
    | Γ ⁡ ( z + a ) Γ ⁡ ( z + b ) | ≤ 1 | z | b - a . Euler-Gamma 𝑧 𝑎 Euler-Gamma 𝑧 𝑏 1 superscript 𝑧 𝑏 𝑎 {\displaystyle{\displaystyle\left|\frac{\Gamma\left(z+a\right)}{\Gamma\left(z+% b\right)}\right|\leq\frac{1}{|z|^{b-a}}.}}
    0 references
    DLMF id
    DLMF:5.6.E8
    0 references
    Symbols used
    gamma function
    test
    Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    xml-id
    C5.S2.E1.m2agdec
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    Q11273
    test
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C5.S1.XMD7.m1dec
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    Q11275
    test
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C5.S1.XMD8.m1dec
    0 references
    Q11283
    test
    b 𝑏 {\displaystyle{\displaystyle b}}
    xml-id
    C5.S1.XMD9.m1dec
    0 references
     
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