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Formula:7955

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Digital Library of Mathematical Functions ID 23.6.E19

e 2 ⁡ = K 2 ⁡ 3 ⁢ ω 1 2 ⁢ ( k 2 - k ′ 2 ) , Weierstrass-e-on-lattice 2 𝕃 complete-elliptic-integral-first-kind-K 2 𝑘 3 superscript subscript 𝜔 1 2 superscript 𝑘 2 superscript superscript 𝑘 ′ 2 {\displaystyle{\displaystyle e_{2}=\frac{{K^{2}}}{3\omega_{1}^{2}}(k^{2}-{k^{% \prime}}^{2}),}}


Constraint(s)

Symbols List

  • e j ⁡ Weierstrass-e-on-lattice 𝑗 𝕃 {\displaystyle{\displaystyle e_{\NVar{j}}}} :
  • K ⁡ ( k ) complete-elliptic-integral-first-kind-K 𝑘 {\displaystyle{\displaystyle K\left(\NVar{k}\right)}} : Legendre’s complete elliptic integral of the first kind
  • 𝕃 𝕃 {\displaystyle{\displaystyle\mathbb{L}}} : lattice
  • ω 1 subscript 𝜔 1 {\displaystyle{\displaystyle\omega_{1}}} : lattice generators
  • k 𝑘 {\displaystyle{\displaystyle k}} : modulus
  • k ′ superscript 𝑘 ′ {\displaystyle{\displaystyle k^{\prime}}} : complementary modulus
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 10:02.
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