Formula:7180

Digital Library of Mathematical Functions ID 19.24.E3

${\displaystyle{\displaystyle\left(\frac{y^{3/2}+z^{3/2}}{2}\right)^{2/3}\leq\frac{4}{\pi}R_{G}\left(0,y^{2},z^{2}\right)\leq\left(\frac{y^{2}+z^{2}}{2}\right)^{1/2},}}$

Constraint(s)

${\displaystyle{\displaystyle z>0}}$

Symbols List

• ${\displaystyle{\displaystyle R_{G}\left(\NVar{x},\NVar{y},\NVar{z}\right)}}$: symmetric elliptic integral of second kind
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
 

Resources that cite this formula

No records found.