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Formula:7990

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Digital Library of Mathematical Functions ID 23.9.E7

σ ⁡ ( z ) = ∑ m , n = 0 ∞ a m , n ⁢ ( 10 ⁢ c 2 ) m ⁢ ( 56 ⁢ c 3 ) n ⁢ z 4 ⁢ m + 6 ⁢ n + 1 ( 4 ⁢ m + 6 ⁢ n + 1 ) ! , Weierstrass-sigma-on-lattice 𝑧 𝕃 superscript subscript 𝑚 𝑛 0 subscript 𝑎 𝑚 𝑛 superscript 10 subscript 𝑐 2 𝑚 superscript 56 subscript 𝑐 3 𝑛 superscript 𝑧 4 𝑚 6 𝑛 1 4 𝑚 6 𝑛 1 {\displaystyle{\displaystyle\sigma\left(z\right)=\sum_{m,n=0}^{\infty}a_{m,n}(% 10c_{2})^{m}(56c_{3})^{n}\frac{z^{4m+6n+1}}{(4m+6n+1)!},}}


Constraint(s)

Symbols List

  • σ ⁡ ( z ) Weierstrass-sigma-on-lattice 𝑧 𝕃 {\displaystyle{\displaystyle\sigma\left(\NVar{z}\right)}} : 23.2.E6
  • ! {\displaystyle{\displaystyle!}} :
  • 𝕃 𝕃 {\displaystyle{\displaystyle\mathbb{L}}} : lattice
  • n 𝑛 {\displaystyle{\displaystyle n}} : integer
  • m 𝑚 {\displaystyle{\displaystyle m}} : integer
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex
  • c n subscript 𝑐 𝑛 {\displaystyle{\displaystyle c_{n}}} : c n
  • a m , n subscript 𝑎 𝑚 𝑛 {\displaystyle{\displaystyle a_{m,n}}} : coefficients
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 10:02.
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