Formula:7001

Digital Library of Mathematical Functions ID 19.12.E7

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

Constraint(s)

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

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
• ${\displaystyle{\displaystyle\ln\NVar{z}}}$: principal branch of logarithm function
 

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