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Formula:8854

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Digital Library of Mathematical Functions ID 28.2.E18

w ⁢ ( z ) = ∑ n = - ∞ ∞ c 2 ⁢ n ⁢ e i ⁢ ( ν + 2 ⁢ n ) ⁢ z 𝑤 𝑧 superscript subscript 𝑛 subscript 𝑐 2 𝑛 superscript 𝑒 imaginary-unit 𝜈 2 𝑛 𝑧 {\displaystyle{\displaystyle w(z)=\sum_{n=-\infty}^{\infty}c_{2n}e^{\mathrm{i}% (\nu+2n)z}}}


Constraint(s)

Symbols List

  • e {\displaystyle{\displaystyle\mathrm{e}}} : base of natural logarithm
  • i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}} : imaginary unit
  • n 𝑛 {\displaystyle{\displaystyle n}} : integer
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  • ν 𝜈 {\displaystyle{\displaystyle\nu}} : complex parameter
  • w ⁢ ( z ) 𝑤 𝑧 {\displaystyle{\displaystyle w(z)}} : Mathieu’s equation solution
  • c 2 ⁢ n subscript 𝑐 2 𝑛 {\displaystyle{\displaystyle c_{2n}}} : coefficients
  •  Edit this on Wikidata

Resources that cite this formula

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