Formula:7686

Digital Library of Mathematical Functions ID 22.9.E1

${\displaystyle{\displaystyle s_{m,p}^{(2)}=\operatorname{sn}\left(z+2p^{-1}(m-1)K\left(k\right),k\right),}}$

Symbols List

• ${\displaystyle{\displaystyle\operatorname{sn}\left(\NVar{z},\NVar{k}\right)}}$: Jacobian elliptic function
• ${\displaystyle{\displaystyle K\left(\NVar{k}\right)}}$: Legendre’s complete elliptic integral of the first kind
• ${\displaystyle{\displaystyle z}}$: complex
• ${\displaystyle{\displaystyle k}}$: modulus
• ${\displaystyle{\displaystyle m}}$: positive integer
• ${\displaystyle{\displaystyle p}}$: positive integer
• ${\displaystyle{\displaystyle s_{m,p}^{(r)}}}$: cyclic quantity
 

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