DLMF:19.34.E6 (Q6718)

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Language	Label	Description	Also known as
English	DLMF:19.34.E6	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\frac{{c^{2}}}{2\pi}M=(r_{+}^{2}+r_{-}^{2})R_{F}% \left(0,r_{+}^{2},r_{-}^{2}\right)-4R_{G}\left(0,r_{+}^{2},r_{-}^{2}\right).}}

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DLMF:19.34.E6

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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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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2abdec

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Defining formula

{\displaystyle{\displaystyle M}}

C19.S34.XMD1.m1bdec

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Defining formula

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

C19.S34.XMD3.m1cdec

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