Formula:7692

Digital Library of Mathematical Functions ID 22.9.E7

${\displaystyle{\displaystyle\kappa=\operatorname{dn}\left(2K\left(k\right)/3,k\right),}}$

Symbols List

• ${\displaystyle{\displaystyle\operatorname{dn}\left(\NVar{z},\NVar{k}\right)}}$: Jacobian elliptic function
• ${\displaystyle{\displaystyle K\left(\NVar{k}\right)}}$: Legendre’s complete elliptic integral of the first kind
• ${\displaystyle{\displaystyle k}}$: modulus
• ${\displaystyle{\displaystyle\kappa}}$: change of variable
 

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