Formula:7255

Digital Library of Mathematical Functions ID 19.26.E7

${\displaystyle{\displaystyle R_{D}\left(x+\lambda,y+\lambda,z+\lambda\right)+R_{D}\left(x+\mu,y+\mu,z+\mu\right)=R_{D}\left(x,y,z\right)-\frac{3}{\sqrt{z(z+\lambda)(z+\mu)}},}}$

Symbols List

• ${\displaystyle{\displaystyle R_{D}\left(\NVar{x},\NVar{y},\NVar{z}\right)}}$: elliptic integral symmetric in only two variables
• ${\displaystyle{\displaystyle\lambda}}$: positive
• ${\displaystyle{\displaystyle x}}$: positive
• ${\displaystyle{\displaystyle y}}$: positive
• ${\displaystyle{\displaystyle z}}$: positive
• ${\displaystyle{\displaystyle\mu>0}}$: parameter
 

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