Formula:7300

Digital Library of Mathematical Functions ID 19.27.E12

${\displaystyle{\displaystyle R_{J}\left(x,y,z,p\right)={\frac{3}{2\sqrt{xyz}}\left(\ln\left(\frac{4f}{p}\right)-2\right)\left(1+O\left(\frac{p}{f}\right)\right)},}}$

Constraint(s)

${\displaystyle{\displaystyle p/f\to 0}}$

Symbols List

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

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