DLMF:5.6.E7 (Q2074): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: gamma function / rank
 
Normal rank
Property / Symbols used: gamma function / qualifier
 
test:

Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}

\EulerGamma@{\NVar{z}}
Property / Symbols used: gamma function / qualifier
 
xml-id: C5.S2.E1.m2afdec

Revision as of 18:32, 1 January 2020

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DLMF:5.6.E7
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    Statements

    test
    | Γ ⁡ ( x + i ⁢ y ) | ≥ ( sech ⁡ ( π ⁢ y ) ) 1 / 2 ⁢ Γ ⁡ ( x ) , Euler-Gamma 𝑥 imaginary-unit 𝑦 superscript 𝜋 𝑦 1 2 Euler-Gamma 𝑥 {\displaystyle{\displaystyle|\Gamma\left(x+\mathrm{i}y\right)|\geq(% \operatorname{sech}\left(\pi y\right))^{1/2}\Gamma\left(x\right),}}
    0 references
    DLMF id
    DLMF:5.6.E7
    0 references
    constraint
    x ≥ 1 2 𝑥 1 2 {\displaystyle{\displaystyle x\geq\tfrac{1}{2}}}
    0 references
    Symbols used
    gamma function
    test
    Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    xml-id
    C5.S2.E1.m2afdec
    0 references
     
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