Formula:7798

Digital Library of Mathematical Functions ID 22.15.E10

${\displaystyle{\displaystyle\zeta=\pm\operatorname{arcdn}\left(x,k\right)+2mK,}}$

Symbols List

• ${\displaystyle{\displaystyle K\left(\NVar{k}\right)}}$: Legendre’s complete elliptic integral of the first kind
• ${\displaystyle{\displaystyle\operatorname{arcdn}\left(\NVar{x},\NVar{k}\right)}}$:
• ${\displaystyle{\displaystyle x}}$: real
• ${\displaystyle{\displaystyle k}}$: modulus
• ${\displaystyle{\displaystyle\zeta}}$: solution
• ${\displaystyle{\displaystyle m}}$: integer
 

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