Formula:7256

Digital Library of Mathematical Functions ID 19.26.E8

${\displaystyle{\displaystyle 2R_{G}\left(x+\lambda,y+\lambda,z+\lambda\right)+2R_{G}\left(x+\mu,y+\mu,z+\mu\right)=2R_{G}\left(x,y,z\right)+\lambda R_{F}\left(x+\lambda,y+\lambda,z+\lambda\right)+\mu R_{F}\left(x+\mu,y+\mu,z+\mu\right)+\sqrt{\lambda+\mu+x+y+z}.}}$

Symbols List

• ${\displaystyle{\displaystyle R_{F}\left(\NVar{x},\NVar{y},\NVar{z}\right)}}$: symmetric elliptic integral of first kind
• ${\displaystyle{\displaystyle R_{G}\left(\NVar{x},\NVar{y},\NVar{z}\right)}}$: symmetric elliptic integral of second kind
• ${\displaystyle{\displaystyle\lambda}}$: positive
• ${\displaystyle{\displaystyle x}}$: positive
• ${\displaystyle{\displaystyle y}}$: positive
• ${\displaystyle{\displaystyle z}}$: positive
• ${\displaystyle{\displaystyle\mu>0}}$: parameter
 

Resources that cite this formula

No records found.