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Formula:7984

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Digital Library of Mathematical Functions ID 23.9.E2

℘ ⁡ ( z ) = 1 z 2 + ∑ n = 2 ∞ c n ⁢ z 2 ⁢ n - 2 , Weierstrass-P-on-lattice 𝑧 𝕃 1 superscript 𝑧 2 superscript subscript 𝑛 2 subscript 𝑐 𝑛 superscript 𝑧 2 𝑛 2 {\displaystyle{\displaystyle\wp\left(z\right)=\frac{1}{z^{2}}+\sum_{n=2}^{% \infty}c_{n}z^{2n-2},}}


Constraint(s)

0 < | z | < | z 0 | 0 𝑧 subscript 𝑧 0 {\displaystyle{\displaystyle 0<|z|<|z_{0}|}}

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
  • n 𝑛 {\displaystyle{\displaystyle n}} : integer
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex
  • c n subscript 𝑐 𝑛 {\displaystyle{\displaystyle c_{n}}} : c n
  •  Edit this on Wikidata

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