Formula:7745

Digital Library of Mathematical Functions ID 22.13.E1

${\displaystyle{\displaystyle\left(\frac{\mathrm{d}}{\mathrm{d}z}\operatorname{sn}\left(z,k\right)\right)^{2}=\left(1-{\operatorname{sn}^{2}}\left(z,k\right)\right)\left(1-k^{2}{\operatorname{sn}^{2}}\left(z,k\right)\right),}}$

Symbols List

• ${\displaystyle{\displaystyle\operatorname{sn}\left(\NVar{z},\NVar{k}\right)}}$: Jacobian elliptic function
• ${\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}$: derivative of $$f$$ with respect to $$x$$
• ${\displaystyle{\displaystyle z}}$: complex
• ${\displaystyle{\displaystyle k}}$: modulus
 

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