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Formula:7795

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Digital Library of Mathematical Functions ID 22.15.E7

0 ≤ arcdn ⁡ ( x , k ) ≤ K , 0 inverse-Jacobi-elliptic-dn 𝑥 𝑘 𝐾 {\displaystyle{\displaystyle 0\leq\operatorname{arcdn}\left(x,k\right)\leq K,}}


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
  • arcdn ⁡ ( x , k ) inverse-Jacobi-elliptic-dn 𝑥 𝑘 {\displaystyle{\displaystyle\operatorname{arcdn}\left(\NVar{x},\NVar{k}\right)}} :
  • x 𝑥 {\displaystyle{\displaystyle x}} : real
  • k 𝑘 {\displaystyle{\displaystyle k}} : modulus
  •  Edit this on Wikidata

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