DLMF:19.25.E34 (Q6542)

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Language	Label	Description	Also known as
English	DLMF:19.25.E34	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\operatorname{arcpq}\left(x,k\right)=\sqrt{w}R_{F}% \left(x^{2},1,1+\Delta(\mathrm{r,q})w\right),}}

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DLMF:19.25.E34

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{\displaystyle{\displaystyle w=\ifrac{(1-x^{2})}{\Delta(\mathrm{q,p})}}}

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symmetric elliptic integral of first kind

Defining formula

{\displaystyle{\displaystyle R_{F}\left(\NVar{x},\NVar{y},\NVar{z}\right)}}

C19.S16.E1.m2aldec

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Defining formula

{\displaystyle{\displaystyle k}}

C19.S1.XMD5.m1agdec

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function (locally)

Defining formula

{\displaystyle{\displaystyle\Delta(\mathrm{p,q})}}

C19.S25.XMD2.m1ddec

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