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Formula:7133

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Digital Library of Mathematical Functions ID 19.22.E2

2 ⁢ R G ⁡ ( 0 , x 2 , y 2 ) = 4 ⁢ R G ⁡ ( 0 , x ⁢ y , a 2 ) - x ⁢ y ⁢ R F ⁡ ( 0 , x ⁢ y , a 2 ) , 2 Carlson-integral-RG 0 superscript 𝑥 2 superscript 𝑦 2 4 Carlson-integral-RG 0 𝑥 𝑦 superscript 𝑎 2 𝑥 𝑦 Carlson-integral-RF 0 𝑥 𝑦 superscript 𝑎 2 {\displaystyle{\displaystyle 2R_{G}\left(0,x^{2},y^{2}\right)=4R_{G}\left(0,xy% ,a^{2}\right)-xyR_{F}\left(0,xy,a^{2}\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
  • R G ⁡ ( x , y , z ) Carlson-integral-RG 𝑥 𝑦 𝑧 {\displaystyle{\displaystyle R_{G}\left(\NVar{x},\NVar{y},\NVar{z}\right)}} : symmetric elliptic integral of second kind
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This page was last edited on 28 January 2024, at 10:02.
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