Formula:7856

Digital Library of Mathematical Functions ID 22.17.E8

${\displaystyle{\displaystyle\operatorname{dn}\left(z,ik\right)=\operatorname{nd}\left(z/k_{1}^{\prime},k_{1}\right).}}$

Symbols List

• ${\displaystyle{\displaystyle\operatorname{dn}\left(\NVar{z},\NVar{k}\right)}}$: Jacobian elliptic function
• ${\displaystyle{\displaystyle\operatorname{nd}\left(\NVar{z},\NVar{k}\right)}}$: Jacobian elliptic function
• ${\displaystyle{\displaystyle\mathrm{i}}}$: imaginary unit
• ${\displaystyle{\displaystyle z}}$: complex
• ${\displaystyle{\displaystyle k}}$: modulus
• ${\displaystyle{\displaystyle k_{1}}}$: change of variable
• ${\displaystyle{\displaystyle k_{1}^{\prime}}}$: change of variable
 

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