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Formula:7245

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Digital Library of Mathematical Functions ID 19.25.E41

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


Constraint(s)

j = 1 , 2 , 3 𝑗 1 2 3 {\displaystyle{\displaystyle j=1,2,3}}

Symbols List

  • σ ⁡ ( z ) Weierstrass-sigma-on-lattice 𝑧 𝕃 {\displaystyle{\displaystyle\sigma\left(\NVar{z}\right)}} : 23.2.E6
  • exp ⁡ z 𝑧 {\displaystyle{\displaystyle\exp\NVar{z}}} : exponential function
  • j 𝑗 {\displaystyle{\displaystyle j}} : ( = 1 , 2 , 3 )
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex number
  • ω j subscript 𝜔 𝑗 {\displaystyle{\displaystyle\omega_{j}}} : nonzero complex number
  • η j subscript 𝜂 𝑗 {\displaystyle{\displaystyle\eta_{j}}} : complex number
  •  Edit this on Wikidata

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