Formula:7961

Digital Library of Mathematical Functions ID 23.6.E25

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \Weierstrassplatt@@{z+\omega_{2}}{\mathbb{L}}-\Weierstrasselatt{2}@@{\mathbb{L}}=-\left(\frac{\compellintKk@@{k}kk^{\prime}}{\omega_{1}}\right)^{2}\Jacobiellsdk^{2}@{\frac{\compellintKk@@{k}\!z}{\omega_{1}}}{k},}

Symbols List

• ${\displaystyle{\displaystyle\operatorname{sd}\left(\NVar{z},\NVar{k}\right)}}$: Jacobian elliptic function
• ${\displaystyle{\displaystyle\wp\left(\NVar{z}\right)}}$: 23.2.E4
• ${\displaystyle{\displaystyle e_{\NVar{j}}}}$:
• ${\displaystyle{\displaystyle K\left(\NVar{k}\right)}}$: Legendre’s complete elliptic integral of the first kind
• ${\displaystyle{\displaystyle\mathbb{L}}}$: lattice
• ${\displaystyle{\displaystyle z}}$: complex
• ${\displaystyle{\displaystyle\omega_{1}}}$: lattice generators
• ${\displaystyle{\displaystyle k}}$: modulus
• ${\displaystyle{\displaystyle k^{\prime}}}$: complementary modulus
 

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