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Formula:7271

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Digital Library of Mathematical Functions ID 19.26.E18

R F ⁡ ( x , y , z ) = 2 ⁢ R F ⁡ ( x + λ , y + λ , z + λ ) = R F ⁡ ( x + λ 4 , y + λ 4 , z + λ 4 ) , Carlson-integral-RF 𝑥 𝑦 𝑧 2 Carlson-integral-RF 𝑥 𝜆 𝑦 𝜆 𝑧 𝜆 Carlson-integral-RF 𝑥 𝜆 4 𝑦 𝜆 4 𝑧 𝜆 4 {\displaystyle{\displaystyle R_{F}\left(x,y,z\right)=2R_{F}\left(x+\lambda,y+% \lambda,z+\lambda\right)=R_{F}\left(\frac{x+\lambda}{4},\frac{y+\lambda}{4},% \frac{z+\lambda}{4}\right),}}


Constraint(s)

Symbols List

  • R F ⁡ ( x , y , z ) Carlson-integral-RF 𝑥 𝑦 𝑧 {\displaystyle{\displaystyle R_{F}\left(\NVar{x},\NVar{y},\NVar{z}\right)}} : symmetric elliptic integral of first kind
  • λ 𝜆 {\displaystyle{\displaystyle\lambda}} : positive
  • x 𝑥 {\displaystyle{\displaystyle x}} : positive
  • y 𝑦 {\displaystyle{\displaystyle y}} : positive
  • z 𝑧 {\displaystyle{\displaystyle z}} : positive
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This page was last edited on 28 January 2024, at 10:30.
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