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DLMF:23.10.E7

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Formula:7998
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MaRDI QIDQ7998

  • Label: DLMF:23.10.E7


Digital Library of Mathematical Functions ID 23.10.E7

℘ ⁡ ( 2 ⁢ z ) = - 2 ⁢ ℘ ⁡ ( z ) + 1 4 ⁢ ( ℘ ′′ ⁡ ( z ) ℘ ′ ⁡ ( z ) ) 2 , Weierstrass-P-on-lattice 2 𝑧 𝕃 2 Weierstrass-P-on-lattice 𝑧 𝕃 1 4 superscript diffop Weierstrass-P-on-lattice 2 𝑧 𝕃 diffop Weierstrass-P-on-lattice 1 𝑧 𝕃 2 {\displaystyle{\displaystyle\wp\left(2z\right)=-2\wp\left(z\right)+\frac{1}{4}% \left(\frac{\wp''\left(z\right)}{\wp'\left(z\right)}\right)^{2},}}


Constraint(s)

Symbols List

  • ℘ ⁡ ( z ) Weierstrass-P-on-lattice 𝑧 𝕃 {\displaystyle{\displaystyle\wp\left(\NVar{z}\right)}} : 23.2.E4
  • 𝕃 𝕃 {\displaystyle{\displaystyle\mathbb{L}}} : lattice
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex
  •  Edit this on Wikidata

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