DLMF:5.11.E12 (Q2134)

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DLMF:5.11.E12
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    Statements

    Defining formula
    Γ ⁡ ( z + a ) Γ ⁡ ( z + b ) ∼ z a - b , asymptotically-equals Euler-Gamma 𝑧 𝑎 Euler-Gamma 𝑧 𝑏 superscript 𝑧 𝑎 𝑏 {\displaystyle{\displaystyle\frac{\Gamma\left(z+a\right)}{\Gamma\left(z+b% \right)}\sim z^{a-b},}}
    0 references
    DLMF id
    DLMF:5.11.E12
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    Symbols used
    gamma function
    Defining formula
    Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    xml-id
    C5.S2.E1.m2agdec
    0 references
     
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