Formula:6810

Digital Library of Mathematical Functions ID 19.2.E18

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

Constraint(s)

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

Symbols List

• ${\displaystyle{\displaystyle R_{C}\left(\NVar{x},\NVar{y}\right)}}$: Carlson’s combination of inverse circular and inverse hyperbolic functions
• ${\displaystyle{\displaystyle\operatorname{arccos}\NVar{z}}}$:
• ${\displaystyle{\displaystyle\operatorname{arctan}\NVar{z}}}$:
 

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