FourierTrigSeries
FourierTrigSeries[expr,t,n]
gives the n
-order Fourier trigonometric series expansion of expr in t.
FourierTrigSeries[expr,{t1,t2,…},{n1,n2,…}]
gives the multidimensional Fourier trigonometric series of expr.
Details and Options
- 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 - With the setting FourierParameters->{a,b} the following series is returned:
with 
and 
.
Examples
open allclose allBasic Examples (2)
-order Fourier trigonometric series of 
-order bivariate Fourier trigonometric series approximation to 
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)
FourierParameters (1)
Use a nondefault setting for FourierParameters:
Text
Wolfram Research (2008), FourierTrigSeries, Wolfram Language function, https://reference.wolfram.com/language/ref/FourierTrigSeries.html.
CMS
Wolfram Language. 2008. "FourierTrigSeries." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/FourierTrigSeries.html.
APA
Wolfram Language. (2008). FourierTrigSeries. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/FourierTrigSeries.html