DLMF:19.22.E2 (Q6437)

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Language	Label	Description	Also known as
English	DLMF:19.22.E2	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle 2R_{G}\left(0,x^{2},y^{2}\right)=4R_{G}\left(0,xy% ,a^{2}\right)-xyR_{F}\left(0,xy,a^{2}\right),}}

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DLMF:19.22.E2

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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.m2aadec

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symmetric elliptic integral of second kind

Defining formula

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

C19.S16.E3.m2adec

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