Formula:7630

Digital Library of Mathematical Functions ID 22.6.E3

${\displaystyle{\displaystyle{k^{\prime}}^{2}{\operatorname{sc}^{2}}\left(z,k\right)+1={\operatorname{dc}^{2}}\left(z,k\right)={k^{\prime}}^{2}{\operatorname{nc}^{2}}\left(z,k\right)+k^{2},}}$

Symbols List

• ${\displaystyle{\displaystyle\operatorname{dc}\left(\NVar{z},\NVar{k}\right)}}$: Jacobian elliptic function
• ${\displaystyle{\displaystyle\operatorname{nc}\left(\NVar{z},\NVar{k}\right)}}$: Jacobian elliptic function
• ${\displaystyle{\displaystyle\operatorname{sc}\left(\NVar{z},\NVar{k}\right)}}$: Jacobian elliptic function
• ${\displaystyle{\displaystyle z}}$: complex
• ${\displaystyle{\displaystyle k}}$: modulus
• ${\displaystyle{\displaystyle k^{\prime}}}$: complementary modulus
 

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