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Formula:7217

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Digital Library of Mathematical Functions ID 19.25.E17

F ⁡ ( ϕ , k ) = R F ⁡ ( x , y , z ) , elliptic-integral-first-kind-F italic-ϕ 𝑘 Carlson-integral-RF 𝑥 𝑦 𝑧 {\displaystyle{\displaystyle F\left(\phi,k\right)=R_{F}\left(x,y,z\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
  • F ⁡ ( ϕ , k ) elliptic-integral-first-kind-F italic-ϕ 𝑘 {\displaystyle{\displaystyle F\left(\NVar{\phi},\NVar{k}\right)}} : Legendre’s incomplete elliptic integral of the first kind
  • ϕ italic-ϕ {\displaystyle{\displaystyle\phi}} : real or complex argument
  • k 𝑘 {\displaystyle{\displaystyle k}} : real or complex modulus
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This page was last edited on 28 January 2024, at 10:30.
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