DLMF:19.26.E21 (Q6578)

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Language	Label	Description	Also known as
English	DLMF:19.26.E21	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle 2R_{G}\left(x,y,z\right)=4R_{G}\left(x+\lambda,y+% \lambda,z+\lambda\right)-\lambda R_{F}\left(x,y,z\right)-\sqrt{x}-\sqrt{y}-% \sqrt{z}.}}

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DLMF:19.26.E21

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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.m2addec

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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.m2aadec

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Defining formula

{\displaystyle{\displaystyle\lambda}}

C19.S26.XMD1.m1odec

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Defining formula

{\displaystyle{\displaystyle x}}

C19.S26.XMD2.m1pdec

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Defining formula

{\displaystyle{\displaystyle y}}

C19.S26.XMD3.m1qdec

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Defining formula

{\displaystyle{\displaystyle z}}

C19.S26.XMD4.m1ndec

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