Formula:7296

Digital Library of Mathematical Functions ID 19.27.E8

${\displaystyle{\displaystyle R_{D}\left(x,y,z\right)=\frac{3}{\sqrt{xyz}}-\frac{6}{xy}R_{G}\left(x,y,0\right)\left(1+O\left(\frac{z}{g}\right)\right),}}$

Constraint(s)

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

Symbols List

• ${\displaystyle{\displaystyle O\left(\NVar{x}\right)}}$: order not exceeding
• ${\displaystyle{\displaystyle R_{D}\left(\NVar{x},\NVar{y},\NVar{z}\right)}}$: elliptic integral symmetric in only two variables
• ${\displaystyle{\displaystyle R_{G}\left(\NVar{x},\NVar{y},\NVar{z}\right)}}$: symmetric elliptic integral of second kind
• ${\displaystyle{\displaystyle g}}$: g
 

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