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

# FourierSinSeries

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

Find the 3-order bivariate Fourier sine series approximation to :
 Out[1]=
 Out[2]=
 Scope   (3)
Find the 3-order Fourier sine series approximation to a quadratic polynomial:
Fourier sine series for a piecewise function:
The Fourier sine series for a basis function has only one term:
 Options   (1)
Use a nondefault setting for FourierParameters:
The Fourier sine series of :
The Fourier series of the odd extension of :
In general these will always coincide:
The Fourier sine series of approximates :
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