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

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Property / constraint
 

x 1 2 𝑥 1 2 {\displaystyle{\displaystyle x\geq\tfrac{1}{2}}}

x\geq\tfrac{1}{2}
Property / constraint: x 1 2 𝑥 1 2 {\displaystyle{\displaystyle x\geq\tfrac{1}{2}}} / rank
 
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Revision as of 16:04, 30 December 2019

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DLMF:5.6.E7
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    Statements

    | 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),}}
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    x 1 2 𝑥 1 2 {\displaystyle{\displaystyle x\geq\tfrac{1}{2}}}
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