DLMF:19.26.E22 (Q6579)

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Language	Label	Description	Also known as
English	DLMF:19.26.E22	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle R_{J}\left(x,y,z,p\right)=2R_{J}\left(x+\lambda,y% +\lambda,z+\lambda,p+\lambda\right)+3R_{C}\left(\alpha^{2},\beta^{2}\right),}}

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DLMF:19.26.E22

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Carlson’s combination of inverse circular and inverse hyperbolic functions

Defining formula

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

C19.S2.E17.m2aedec

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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.m2aadec

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Defining formula

{\displaystyle{\displaystyle\lambda}}

C19.S26.XMD1.m1pdec

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Defining formula

{\displaystyle{\displaystyle\alpha}}

C19.S26.XMD11.m1dec

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Defining formula

{\displaystyle{\displaystyle\beta}}

C19.S26.XMD12.m1dec

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Defining formula

{\displaystyle{\displaystyle x}}

C19.S26.XMD2.m1qdec

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Defining formula

{\displaystyle{\displaystyle y}}

C19.S26.XMD3.m1rdec

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Sitelinks

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