Formula:7295

Digital Library of Mathematical Functions ID 19.27.E7

${\displaystyle{\displaystyle R_{D}\left(x,y,z\right)=\frac{3}{2z^{3/2}}\left(\ln\left(\frac{8z}{a+g}\right)-2\right)\left(1+O\left(\frac{a}{z}\right)\right),}}$

Constraint(s)

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

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

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