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Formula:9201

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Digital Library of Mathematical Functions ID 28.30.E4

f m = 1 2 ⁢ π ⁢ ∫ 0 2 ⁢ π f ⁢ ( x ) ⁢ w m ⁢ ( x ) ⁢ d x . subscript 𝑓 𝑚 1 2 𝜋 superscript subscript 0 2 𝜋 𝑓 𝑥 subscript 𝑤 𝑚 𝑥 𝑥 {\displaystyle{\displaystyle f_{m}=\frac{1}{2\pi}\int_{0}^{2\pi}f(x)w_{m}(x)% \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
  • ∫ {\displaystyle{\displaystyle\int}} : integral
  • m 𝑚 {\displaystyle{\displaystyle m}} : integer
  • x 𝑥 {\displaystyle{\displaystyle x}} : real variable
  • w ⁢ ( z ) 𝑤 𝑧 {\displaystyle{\displaystyle w(z)}} : Mathieu’s equation solution
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This page was last edited on 28 January 2024, at 10:30.
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