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FourierTrigSeries

FourierTrigSeries
gives the n^(th)-order Fourier trigonometric series expansion of expr in t.
FourierTrigSeries
gives the multidimensional Fourier trigonometric series of expr.
MORE INFORMATION
  • 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
EXAMPLESCLOSE ALL
Basic Examples   (2)
Find the 5^(th)-order Fourier trigonometric series of t:
Find the 3^(rd)-order bivariate Fourier trigonometric series approximation to :
Find the 5^(th)-order Fourier trigonometric series of t:
In[1]:=
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Out[1]=
In[2]:=
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Out[2]=
 
Find the 3^(rd)-order bivariate Fourier trigonometric series approximation to :
In[1]:=
Click for copyable input
Out[1]=
In[2]:=
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Out[2]=
Scope   (4)
Find the Fourier trigonometric series of an exponential function:
Fourier trigonometric series for a Gaussian function:
Fourier trigonometric series for Abs:
The Fourier trigonometric series for a basis function has only one term:
Options   (1)
Use a nondefault setting forFourierParameters:
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