Formula:7000

Digital Library of Mathematical Functions ID 19.12.E6

${\displaystyle{\displaystyle R_{C}\left(x,y\right)=\frac{\pi}{2\sqrt{y}}-\frac{\sqrt{x}}{y}\left(1+O\left(\sqrt{\frac{x}{y}}\right)\right),}}$

Constraint(s)

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

Symbols List

• ${\displaystyle{\displaystyle O\left(\NVar{x}\right)}}$: order not exceeding
• ${\displaystyle{\displaystyle R_{C}\left(\NVar{x},\NVar{y}\right)}}$: Carlson’s combination of inverse circular and inverse hyperbolic functions
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
 

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