DLMF:5.6.E5 (Q2072): Difference between revisions

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Latest revision as of 17:32, 1 January 2020

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Language	Label	Description	Also known as
English	DLMF:5.6.E5	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\exp\left((1-s)\psi\left(x+s^{1/2}\right)\right)% \leq\frac{\Gamma\left(x+1\right)}{\Gamma\left(x+s\right)}\leq\exp\left((1-s)% \psi\left(x+\tfrac{1}{2}(s+1)\right)\right),}}

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DLMF:5.6.E5

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{\displaystyle{\displaystyle 0<s<1}}

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Defining formula

{\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}

C5.S2.E1.m2addec

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psi (or digamma) function

Defining formula

{\displaystyle{\displaystyle\psi\left(\NVar{z}\right)}}

C5.S2.E2.m2adec

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exponential function

Defining formula

{\displaystyle{\displaystyle\exp\NVar{z}}}

C4.S2.E19.m2adec

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Defining formula

{\displaystyle{\displaystyle s}}

C5.S1.XMD11.m1adec

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Defining formula

{\displaystyle{\displaystyle x}}

C5.S1.XMD5.m1ddec

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Sitelinks

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