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Formula:7273

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Digital Library of Mathematical Functions ID 19.26.E20

R D ⁡ ( x , y , z ) = 2 ⁢ R D ⁡ ( x + λ , y + λ , z + λ ) + 3 z ⁢ ( z + λ ) . Carlson-integral-RD 𝑥 𝑦 𝑧 2 Carlson-integral-RD 𝑥 𝜆 𝑦 𝜆 𝑧 𝜆 3 𝑧 𝑧 𝜆 {\displaystyle{\displaystyle R_{D}\left(x,y,z\right)=2R_{D}\left(x+\lambda,y+% \lambda,z+\lambda\right)+\frac{3}{\sqrt{z}(z+\lambda)}.}}


Constraint(s)

Symbols List

  • R D ⁡ ( x , y , z ) Carlson-integral-RD 𝑥 𝑦 𝑧 {\displaystyle{\displaystyle R_{D}\left(\NVar{x},\NVar{y},\NVar{z}\right)}} : elliptic integral symmetric in only two variables
  • λ 𝜆 {\displaystyle{\displaystyle\lambda}} : positive
  • x 𝑥 {\displaystyle{\displaystyle x}} : positive
  • y 𝑦 {\displaystyle{\displaystyle y}} : positive
  • z 𝑧 {\displaystyle{\displaystyle z}} : positive
  •  Edit this on Wikidata

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