DLMF:19.2.E18 (Q6114)

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Language	Label	Description	Also known as
English	DLMF:19.2.E18	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle R_{C}\left(x,y\right)=\frac{1}{\sqrt{y-x}}% \operatorname{arctan}\sqrt{\frac{y-x}{x}}=\frac{1}{\sqrt{y-x}}\operatorname{% arccos}\sqrt{x/y},}}

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DLMF:19.2.E18

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{\displaystyle{\displaystyle 0\leq x<y}}

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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.m2aadec

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Defining formula

{\displaystyle{\displaystyle\operatorname{arccos}\NVar{z}}}

C4.S23.SS2.p1.m6adec

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Defining formula

{\displaystyle{\displaystyle\operatorname{arctan}\NVar{z}}}

C4.S23.SS2.p1.m7abdec

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