DLMF:19.27.E12 (Q6604)

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Language	Label	Description	Also known as
English	DLMF:19.27.E12	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle R_{J}\left(x,y,z,p\right)={\frac{3}{2\sqrt{xyz}}% \left(\ln\left(\frac{4f}{p}\right)-2\right)\left(1+O\left(\frac{p}{f}\right)% \right)},}}

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DLMF:19.27.E12

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{\displaystyle{\displaystyle p/f\to 0}}

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order not exceeding

Defining formula

{\displaystyle{\displaystyle O\left(\NVar{x}\right)}}

C2.S1.E3.m2ajdec

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symmetric elliptic integral of third kind

Defining formula

{\displaystyle{\displaystyle R_{J}\left(\NVar{x},\NVar{y},\NVar{z},\NVar{p}% \right)}}

C19.S16.E2.m2aadec

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principal branch of logarithm function

Defining formula

{\displaystyle{\displaystyle\ln\NVar{z}}}

C4.S2.E2.m2aedec

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Defining formula

{\displaystyle{\displaystyle f}}

C19.S27.XMD4.m1adec

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