DLMF:19.34.E5 (Q6717)

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Language	Label	Description	Also known as
English	DLMF:19.34.E5	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\frac{3{c^{2}}}{8\pi ab}M=3R_{F}\left(0,r_{+}^{2},% r_{-}^{2}\right)-2r_{-}^{2}R_{D}\left(0,r_{+}^{2},r_{-}^{2}\right),}}

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DLMF:19.34.E5

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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.m2adec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2aadec

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Defining formula

{\displaystyle{\displaystyle M}}

C19.S34.XMD1.m1adec

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Defining formula

{\displaystyle{\displaystyle r_{\pm}}}

C19.S34.XMD3.m1bdec

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