DLMF:19.21.E7 (Q6425)

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Language	Label	Description	Also known as
English	DLMF:19.21.E7	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle(x-y)R_{D}\left(y,z,x\right)+(z-y)R_{D}\left(x,y,z% \right)=3R_{F}\left(x,y,z\right)-3\sqrt{y/(xz)},}}

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DLMF:19.21.E7

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elliptic integral symmetric in only two variables

Defining formula

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

C19.S16.E5.m2addec

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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.m2afdec

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