DLMF:19.27.E16 (Q6608)

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Language	Label	Description	Also known as
English	DLMF:19.27.E16	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle R_{J}\left(x,y,z,p\right)=(3/\sqrt{x})R_{C}\left(% (h+p)^{2},2(b+h)p\right)+O\left(\frac{1}{x^{3/2}}\ln\frac{x}{b+h}\right),}}

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DLMF:19.27.E16

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{\displaystyle{\displaystyle\max(y,z,p)/x\to 0}}

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order not exceeding

Defining formula

{\displaystyle{\displaystyle O\left(\NVar{x}\right)}}

C2.S1.E3.m2andec

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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.m2abdec

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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.m2aedec

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principal branch of logarithm function

Defining formula

{\displaystyle{\displaystyle\ln\NVar{z}}}

C4.S2.E2.m2agdec

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Defining formula

{\displaystyle{\displaystyle b}}

C19.S27.XMD2.m1cdec

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Defining formula

{\displaystyle{\displaystyle h}}

C19.S27.XMD6.m1edec

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