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Formula:7903

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Digital Library of Mathematical Functions ID 23.2.E15

σ ⁡ ( z + 2 ⁢ ω j ) = - e 2 ⁢ η j ⁢ ( z + ω j ) ⁢ σ ⁡ ( z ) , Weierstrass-sigma-on-lattice 𝑧 2 subscript 𝜔 𝑗 𝕃 superscript 𝑒 2 subscript 𝜂 𝑗 𝑧 subscript 𝜔 𝑗 Weierstrass-sigma-on-lattice 𝑧 𝕃 {\displaystyle{\displaystyle\sigma\left(z+2\omega_{j}\right)=-e^{2\eta_{j}(z+% \omega_{j})}\sigma\left(z\right),}}


Constraint(s)

Symbols List

  • σ ⁡ ( z ) Weierstrass-sigma-on-lattice 𝑧 𝕃 {\displaystyle{\displaystyle\sigma\left(\NVar{z}\right)}} : 23.2.E6
  • e {\displaystyle{\displaystyle\mathrm{e}}} : base of natural logarithm
  • 𝕃 𝕃 {\displaystyle{\displaystyle\mathbb{L}}} : lattice
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex
  • ω 1 subscript 𝜔 1 {\displaystyle{\displaystyle\omega_{1}}} : lattice generators
  • η j subscript 𝜂 𝑗 {\displaystyle{\displaystyle\eta_{j}}} : complex number
  •  Edit this on Wikidata

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