Formula:7713

Digital Library of Mathematical Functions ID 22.10.E5

${\displaystyle{\displaystyle\operatorname{cn}\left(z,k\right)=\cos z+\frac{k^{2}}{4}(z-\sin z\cos z)\sin z+O\left(k^{4}\right),}}$

Symbols List

• ${\displaystyle{\displaystyle O\left(\NVar{x}\right)}}$: order not exceeding
• ${\displaystyle{\displaystyle\operatorname{cn}\left(\NVar{z},\NVar{k}\right)}}$: Jacobian elliptic function
• ${\displaystyle{\displaystyle\cos\NVar{z}}}$: cosine function
• ${\displaystyle{\displaystyle\sin\NVar{z}}}$: sine function
• ${\displaystyle{\displaystyle z}}$: complex
• ${\displaystyle{\displaystyle k}}$: modulus
 

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