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Formula:7797

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Digital Library of Mathematical Functions ID 22.15.E9

η = ± arccn ⁡ ( x , k ) + 4 ⁢ m ⁢ K , 𝜂 plus-or-minus inverse-Jacobi-elliptic-cn 𝑥 𝑘 4 𝑚 𝐾 {\displaystyle{\displaystyle\eta=\pm\operatorname{arccn}\left(x,k\right)+4mK,}}


Constraint(s)

Symbols List

  • K ⁡ ( k ) complete-elliptic-integral-first-kind-K 𝑘 {\displaystyle{\displaystyle K\left(\NVar{k}\right)}} : Legendre’s complete elliptic integral of the first kind
  • arccn ⁡ ( x , k ) inverse-Jacobi-elliptic-cn 𝑥 𝑘 {\displaystyle{\displaystyle\operatorname{arccn}\left(\NVar{x},\NVar{k}\right)}} :
  • x 𝑥 {\displaystyle{\displaystyle x}} : real
  • k 𝑘 {\displaystyle{\displaystyle k}} : modulus
  • η 𝜂 {\displaystyle{\displaystyle\eta}} : solution
  • m 𝑚 {\displaystyle{\displaystyle m}} : integer
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 10:02.
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