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FourierCosSeries

FourierCosSeries
gives the n^(th)-order Fourier cosine series expansion of expr in t.
FourierCosSeries
gives the multidimensional Fourier cosine series of expr.
  • 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
{1,1}
{1,2Pi}
{a,b}
  • The Fourier cosine series of is equivalent to the Fourier series of .
Find the 5^(th)-order Fourier cosine series of :
Find the -order Fourier cosine series:
Find the 5^(th)-order Fourier cosine series of :
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Find the -order Fourier cosine series:
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Find the 4^(th)-order Fourier cosine series of a quadratic polynomial:
Fourier cosine series for a piecewise function:
The Fourier cosine series for a basis function has only one term:
Use a nondefault setting for FourierParameters:
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