DLMF:19.12.E7 (Q6305)

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Language	Label	Description	Also known as
English	DLMF:19.12.E7	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle R_{C}\left(x,y\right)=\frac{1}{2\sqrt{x}}\left(% \left(1+\frac{y}{2x}\right)\ln\left(\frac{4x}{y}\right)-\frac{y}{2x}\right)\*(% 1+O\left(y^{2}/x^{2}\right)),}}

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DLMF:19.12.E7

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{\displaystyle{\displaystyle y/x\to 0}}

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order not exceeding

Defining formula

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

C2.S1.E3.m2acdec

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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.m2acdec

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principal branch of logarithm function

Defining formula

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

C4.S2.E2.m2addec

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