FourierCosSeries

FourierCosSeries[expr, t, n]
gives the n^(th)-order Fourier cosine series expansion of expr in t.

FourierCosSeries[expr, {t1, t2, ...}, {n1, n2, ...}]
gives the multidimensional Fourier cosine series of expr.

Details and OptionsDetails and Options

  • The ^(th)-order Fourier cosine series of is by default defined to be with and .
  • The -dimensional Fourier cosine series of is given by with .
  • The following options can be given:
  • Assumptions$Assumptionsassumptions on parameters
    FourierParameters{1,1}parameters to define Fourier cosine series
    GenerateConditionsFalsewhether to generate results that involve conditions on parameters
  • Common settings for FourierParameters include:
  • {1,1}
    {1,2Pi}
    {a,b}
  • The Fourier cosine series of is equivalent to the Fourier series of .

ExamplesExamplesopen allclose all

Basic Examples (2)Basic Examples (2)

Find the 5^(th)-order Fourier cosine series of :

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Find the -order Fourier cosine series:

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