DLMF:19.28.E8 (Q6616)

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Language	Label	Description	Also known as
English	DLMF:19.28.E8	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\int_{0}^{\infty}R_{J}\left(tx,y,z,tp\right)% \mathrm{d}t=\frac{6}{\sqrt{p}}R_{C}\left(p,x\right)R_{F}\left(0,y,z\right).}}

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DLMF:19.28.E8

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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.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.m2acdec

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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.m2abdec

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Defining formula

{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

C1.S4.SS4.m1agdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3agdec

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