This is documentation for Mathematica 8, which was
based on an earlier version of the Wolfram Language.

# FourierTrigSeries

 FourierTrigSeries gives the n-order Fourier trigonometric series expansion of expr in t. FourierTrigSeriesgives the multidimensional Fourier trigonometric series of expr.
• The n-order Fourier trigonometric series of is by default defined to be with and .
• The following options can be given:
 Assumptions \$Assumptions assumptions on parameters FourierParameters {1,1} parameters to define Fourier trig series GenerateConditions False whether to generate results that involve conditions on parameters
Find the 5-order Fourier trigonometric series of t:
Find the 3-order bivariate Fourier trigonometric series approximation to :
Find the 5-order Fourier trigonometric series of t:
 Out[1]=
 Out[2]=

Find the 3-order bivariate Fourier trigonometric series approximation to :
 Out[1]=
 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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