Formula:7973

Digital Library of Mathematical Functions ID 23.7.E1

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \Weierstrassplatt@@{\tfrac{1}{2}\omega_{1}}{\mathbb{L}}=\Weierstrasselatt{1}@@{\mathbb{L}}+\sqrt{(\Weierstrasselatt{1}@@{\mathbb{L}}-\Weierstrasselatt{3}@@{\mathbb{L}})(\Weierstrasselatt{1}@@{\mathbb{L}}-\Weierstrasselatt{2}@@{\mathbb{L}})}=\Weierstrasselatt{1}@@{\mathbb{L}}+\omega_{1}^{-2}(\compellintKk@{k})^{2}k^{\prime},}

Symbols List

• ${\displaystyle{\displaystyle\wp\left(\NVar{z}\right)}}$: 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
• ${\displaystyle{\displaystyle\omega_{1}}}$: lattice generators
• ${\displaystyle{\displaystyle k}}$: modulus
• ${\displaystyle{\displaystyle k^{\prime}}}$: complementary modulus
 

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