DLMF:19.26.E8 (Q6560): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:19.26.E8	No description defined

Statements

Defining formula

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

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DLMF:19.26.E8

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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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Defining formula

{\displaystyle{\displaystyle\lambda}}

C19.S26.XMD1.m1fdec

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Defining formula

{\displaystyle{\displaystyle x}}

C19.S26.XMD2.m1fdec

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Defining formula

{\displaystyle{\displaystyle y}}

C19.S26.XMD3.m1fdec

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