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Formula:7131

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Digital Library of Mathematical Functions ID 19.21.E15

p ⁢ R J ⁡ ( 0 , y , z , p ) + q ⁢ R J ⁡ ( 0 , y , z , q ) = 3 ⁢ R F ⁡ ( 0 , y , z ) , 𝑝 Carlson-integral-RJ 0 𝑦 𝑧 𝑝 𝑞 Carlson-integral-RJ 0 𝑦 𝑧 𝑞 3 Carlson-integral-RF 0 𝑦 𝑧 {\displaystyle{\displaystyle pR_{J}\left(0,y,z,p\right)+qR_{J}\left(0,y,z,q% \right)=3R_{F}\left(0,y,z\right),}}


Constraint(s)

p ⁢ q = y ⁢ z 𝑝 𝑞 𝑦 𝑧 {\displaystyle{\displaystyle pq=yz}}

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
  • R J ⁡ ( x , y , z , p ) Carlson-integral-RJ 𝑥 𝑦 𝑧 𝑝 {\displaystyle{\displaystyle R_{J}\left(\NVar{x},\NVar{y},\NVar{z},\NVar{p}% \right)}} : symmetric elliptic integral of third kind
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This page was last edited on 28 January 2024, at 10:02.
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