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Formula:7239

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Digital Library of Mathematical Functions ID 19.25.E35

z = R F ⁡ ( ℘ ⁡ ( z ) - e 1 ⁡ , ℘ ⁡ ( z ) - e 2 ⁡ , ℘ ⁡ ( z ) - e 3 ⁡ ) , 𝑧 Carlson-integral-RF Weierstrass-P-on-lattice 𝑧 𝕃 Weierstrass-e-on-lattice 1 𝕃 Weierstrass-P-on-lattice 𝑧 𝕃 Weierstrass-e-on-lattice 2 𝕃 Weierstrass-P-on-lattice 𝑧 𝕃 Weierstrass-e-on-lattice 3 𝕃 {\displaystyle{\displaystyle z=R_{F}\left(\wp\left(z\right)-e_{1},\wp\left(z% \right)-e_{2},\wp\left(z\right)-e_{3}\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
  • ℘ ⁡ ( z ) Weierstrass-P-on-lattice 𝑧 𝕃 {\displaystyle{\displaystyle\wp\left(\NVar{z}\right)}} : 23.2.E4
  • e j ⁡ Weierstrass-e-on-lattice 𝑗 𝕃 {\displaystyle{\displaystyle e_{\NVar{j}}}} :
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex number
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 10:30.
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