-order Fourier series expansion of 
FourierSeries
FourierSeries[expr,t,n]
gives the n
-order Fourier series expansion of expr in t.
FourierSeries[expr,{t1,t2,…},{n1,n2,…}]
gives the multidimensional Fourier series.
Details and Options
- The
-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 $Assumptions assumptions on parameters FourierParameters {1,1} parameters to define Fourier series GenerateConditions False whether to generate results that involve conditions on parameters - Common settings for FourierParameters include:
-
{1,1} 
{1,–2Pi} 
{a,b} 
Examples
open all close all
-order Fourier series of 
Scope (4)
Find the 3
-order Fourier series of an exponential function:
Fourier series for a Gaussian function:
Fourier series for Abs:
Options (1)
FourierParameters (1)
Use a nondefault setting for FourierParameters:
Text
Wolfram Research (2008), FourierSeries, Wolfram Language function, https://reference.wolfram.com/language/ref/FourierSeries.html.
CMS
Wolfram Language. 2008. "FourierSeries." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/FourierSeries.html.
APA
Wolfram Language. (2008). FourierSeries. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/FourierSeries.html