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Formula:7235

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Digital Library of Mathematical Functions ID 19.25.E31

u = R F ⁡ ( p ⁣ s 2 ⁡ ( u , k ) , q ⁣ s 2 ⁡ ( u , k ) , r ⁣ s 2 ⁡ ( u , k ) ) ; 𝑢 Carlson-integral-RF abstract-Jacobi-elliptic p s 2 𝑢 𝑘 abstract-Jacobi-elliptic q s 2 𝑢 𝑘 abstract-Jacobi-elliptic r s 2 𝑢 𝑘 {\displaystyle{\displaystyle u=R_{F}\left({\operatorname{ps}^{2}}\left(u,k% \right),{\operatorname{qs}^{2}}\left(u,k\right),{\operatorname{rs}^{2}}\left(u% ,k\right)\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
  • p ⁣ q ⁡ ( z , k ) abstract-Jacobi-elliptic p q 𝑧 𝑘 {\displaystyle{\displaystyle\operatorname{pq}\left(\NVar{z},\NVar{k}\right)}} : generic Jacobian elliptic function
  • k 𝑘 {\displaystyle{\displaystyle k}} : real or complex modulus
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 10:30.
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