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Mathematica > Mathematics and Algorithms > Calculus > Integral Transforms > Fourier Analysis > FourierSeries >

FourierSeries

FourierSeries
gives the n^(th)-order Fourier series expansion of expr in t.
FourierSeries
gives the multidimensional Fourier series.
  • The ^(th)-order Fourier series of is by default defined to be with .
  • The multidimensional Fourier series of is given by with .
  • The following options can be given:
Assumptions$Assumptionsassumptions on parameters
FourierParameters{1,1}parameters to define Fourier series
GenerateConditionsFalsewhether to generate results that involve conditions on parameters
{1,1}
{1,-2Pi}
{a,b}
Find the 3^(rd)-order Fourier series of :
Compute an order Fourier series:
Find the 3^(rd)-order Fourier series of :
In[1]:=
Click for copyable input
Out[1]=
In[2]:=
Click for copyable input
Out[2]=
 
Compute an order Fourier series:
In[1]:=
Click for copyable input
Out[1]=
In[2]:=
Click for copyable input
Out[2]=
Find the 3^(rd)-order Fourier series of an exponential function:
Fourier series for a Gaussian function:
Fourier series for Abs:
Fourier series for a basis function has only one term:
Use a nondefault setting for FourierParameters:
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