BUILT-IN MATHEMATICA SYMBOL

# FourierSinSeries

FourierSinSeries[expr, t, n]
gives the n-order Fourier sine series expansion of expr in t.

FourierSinSeries[expr, {t1, t2, ...}, {n1, n2, ...}]
gives the multidimensional Fourier sine series of expr.

## Details and OptionsDetails and Options

• 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
• Common settings for FourierParameters include:
•  {1,1} {1,2Pi} {a,b}
• The Fourier sine series of is equivalent to the Fourier series of .

## ExamplesExamplesopen allclose all

### Basic Examples (2)Basic Examples (2)

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]=

### Properties & Relations (1)Properties & Relations (1)

New in 7
New to Mathematica? Find your learning path »
Have a question? Ask support »