DLMF:19.22.E3 (Q6438)

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Language	Label	Description	Also known as
English	DLMF:19.22.E3	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle 2y^{2}R_{D}\left(0,x^{2},y^{2}\right)=\tfrac{1}{4% }(y^{2}-x^{2})R_{D}\left(0,xy,a^{2}\right)+3R_{F}\left(0,xy,a^{2}\right).}}

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DLMF:19.22.E3

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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.m2adec

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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.m2abdec

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