DLMF:19.25.E26 (Q6532): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:19.25.E26	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle(z-x)^{3/2}R_{J}\left(x,y,z,p\right)=(3/\alpha^{2}% ){(\Pi\left(\phi,\alpha^{2},k\right)-F\left(\phi,k\right))},}}

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DLMF:19.25.E26

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symmetric elliptic integral of third kind

Defining formula

{\displaystyle{\displaystyle R_{J}\left(\NVar{x},\NVar{y},\NVar{z},\NVar{p}% \right)}}

C19.S16.E2.m2afdec

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Legendre’s incomplete elliptic integral of the first kind

Defining formula

{\displaystyle{\displaystyle F\left(\NVar{\phi},\NVar{k}\right)}}

C19.S2.E4.m2afdec

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Legendre’s incomplete elliptic integral of the third kind

Defining formula

{\displaystyle{\displaystyle\Pi\left(\NVar{\phi},\NVar{\alpha}^{2},\NVar{k}% \right)}}

C19.S2.E7.m2acdec

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Defining formula

{\displaystyle{\displaystyle\phi}}

C19.S1.XMD4.m1pdec

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Defining formula

{\displaystyle{\displaystyle k}}

C19.S1.XMD5.m1ydec

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Defining formula

{\displaystyle{\displaystyle\alpha^{2}}}

C19.S1.XMD7.m1gdec

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