FourierTrigSeries

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

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

Details and OptionsDetails and Options

  • The n^(th)-order Fourier trigonometric series of is by default defined to be with and .
  • The following options can be given:
  • Assumptions$Assumptionsassumptions on parameters
    FourierParameters{1,1}parameters to define Fourier trig series
    GenerateConditionsFalsewhether to generate results that involve conditions on parameters
  • With the setting FourierParameters->{a,b} the following series is returned: with and .

ExamplesExamplesopen allclose all

Basic Examples  (2)Basic Examples  (2)

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

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Find the 3^(rd)-order bivariate Fourier trigonometric series approximation to :

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Introduced in 2008
(7.0)