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Formula:228

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Digital Library of Mathematical Functions ID 1.8.E4

c n = 1 2 ⁢ π ⁢ ∫ - π π f ⁢ ( x ) ⁢ e - i ⁢ n ⁢ x ⁢ d x . subscript 𝑐 𝑛 1 2 𝜋 subscript superscript 𝜋 𝜋 𝑓 𝑥 superscript 𝑒 𝑖 𝑛 𝑥 𝑥 {\displaystyle{\displaystyle c_{n}=\frac{1}{2\pi}\int^{\pi}_{-\pi}f(x)e^{-inx}% \mathrm{d}x.}}


Constraint(s)

Symbols List

  • π {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • e {\displaystyle{\displaystyle\mathrm{e}}} : base of natural logarithm
  • i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}} : imaginary unit
  • ∫ {\displaystyle{\displaystyle\int}} : integral
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
  •  Edit this on Wikidata

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