Formula:7294

Digital Library of Mathematical Functions ID 19.27.E6

${\displaystyle{\displaystyle R_{G}\left(0,y,z\right)={\frac{\sqrt{z}}{2}+\frac{y}{8\sqrt{z}}\left(\ln\left(\frac{16z}{y}\right)-1\right)\*\left(1+O\left(\frac{y}{z}\right)\right)},}}$

Constraint(s)

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

Symbols List

• ${\displaystyle{\displaystyle O\left(\NVar{x}\right)}}$: order not exceeding
• ${\displaystyle{\displaystyle R_{G}\left(\NVar{x},\NVar{y},\NVar{z}\right)}}$: symmetric elliptic integral of second kind
• ${\displaystyle{\displaystyle\ln\NVar{z}}}$: principal branch of logarithm function
 

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