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SOLUTIONS
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BUILT-IN MATHEMATICA SYMBOL
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 OptionsDetails 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
.
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