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Formula:7994

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Digital Library of Mathematical Functions ID 23.10.E3

σ ⁡ ( u + v ) ⁢ σ ⁡ ( u - v ) σ 2 ⁡ ( u ) ⁢ σ 2 ⁡ ( v ) = ℘ ⁡ ( v ) - ℘ ⁡ ( u ) , Weierstrass-sigma-on-lattice 𝑢 𝑣 𝕃 Weierstrass-sigma-on-lattice 𝑢 𝑣 𝕃 Weierstrass-sigma-on-lattice 2 𝑢 𝕃 Weierstrass-sigma-on-lattice 2 𝑣 𝕃 Weierstrass-P-on-lattice 𝑣 𝕃 Weierstrass-P-on-lattice 𝑢 𝕃 {\displaystyle{\displaystyle\frac{\sigma\left(u+v\right)\sigma\left(u-v\right)% }{{\sigma^{2}}\left(u\right){\sigma^{2}}\left(v\right)}=\wp\left(v\right)-\wp% \left(u\right),}}


Constraint(s)

Symbols List

  • ℘ ⁡ ( z ) Weierstrass-P-on-lattice 𝑧 𝕃 {\displaystyle{\displaystyle\wp\left(\NVar{z}\right)}} : 23.2.E4
  • σ ⁡ ( z ) Weierstrass-sigma-on-lattice 𝑧 𝕃 {\displaystyle{\displaystyle\sigma\left(\NVar{z}\right)}} : 23.2.E6
  • 𝕃 𝕃 {\displaystyle{\displaystyle\mathbb{L}}} : lattice
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This page was last edited on 28 January 2024, at 10:02.
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