FourierCosSeries
-order Fourier cosine series expansion of 
FourierCosSeries
FourierCosSeries[expr,t,n]
gives the n
-order Fourier cosine series expansion of expr in t.
FourierCosSeries[expr,{t1,t2,…},{n1,n2,…}]
gives the multidimensional Fourier cosine series of expr.
Details and Options
- The
-order Fourier cosine series of 
is by default defined to be 
with 
and 
. - The
-dimensional Fourier cosine series of 
is given by 
with 
. - The following options can be given:
-
Assumptions $Assumptions assumptions on parameters FourierParameters {1,1} parameters to define Fourier cosine 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 cosine series of
is equivalent to the Fourier series of 
.
Examples
open all close allBasic Examples (2)
-order Fourier cosine series of 
Scope (3)
-order Fourier cosine series of a quadratic polynomial:Options (1)
FourierParameters (1)
Use a nondefault setting for FourierParameters:
Wolfram Research (2008), FourierCosSeries, Wolfram Language function, https://reference.wolfram.com/language/ref/FourierCosSeries.html.
Text
Wolfram Research (2008), FourierCosSeries, Wolfram Language function, https://reference.wolfram.com/language/ref/FourierCosSeries.html.
CMS
Wolfram Language. 2008. "FourierCosSeries." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/FourierCosSeries.html.
APA
Wolfram Language. (2008). FourierCosSeries. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/FourierCosSeries.html