Formula:7274

Digital Library of Mathematical Functions ID 19.26.E21

${\displaystyle{\displaystyle 2R_{G}\left(x,y,z\right)=4R_{G}\left(x+\lambda,y+\lambda,z+\lambda\right)-\lambda R_{F}\left(x,y,z\right)-\sqrt{x}-\sqrt{y}-\sqrt{z}.}}$

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
 

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