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Formula:7244

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Digital Library of Mathematical Functions ID 19.25.E40

z = σ ⁡ ( z ) ⁢ R F ⁡ ( σ 1 2 ⁢ ( z ) , σ 2 2 ⁢ ( z ) , σ 3 2 ⁢ ( z ) ) , 𝑧 Weierstrass-sigma-on-lattice 𝑧 𝕃 Carlson-integral-RF superscript subscript 𝜎 1 2 𝑧 superscript subscript 𝜎 2 2 𝑧 superscript subscript 𝜎 3 2 𝑧 {\displaystyle{\displaystyle z=\sigma\left(z\right)R_{F}\left(\sigma_{1}^{2}(z% ),\sigma_{2}^{2}(z),\sigma_{3}^{2}(z)\right),}}


Constraint(s)

Symbols List

  • R F ⁡ ( x , y , z ) Carlson-integral-RF 𝑥 𝑦 𝑧 {\displaystyle{\displaystyle R_{F}\left(\NVar{x},\NVar{y},\NVar{z}\right)}} : symmetric elliptic integral of first kind
  • σ ⁡ ( z ) Weierstrass-sigma-on-lattice 𝑧 𝕃 {\displaystyle{\displaystyle\sigma\left(\NVar{z}\right)}} : 23.2.E6
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex number
  • σ j ⁢ ( z ) subscript 𝜎 𝑗 𝑧 {\displaystyle{\displaystyle\sigma_{j}(z)}} : function (locally)
  •  Edit this on Wikidata

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