 |
OBSOLETE FOURIER SERIES PACKAGE SYMBOL
FourierCoefficient
As of Version 7.0, FourierCoefficient is part of the built-in Mathematica kernel.
gives the n
coefficient in the Fourier exponential series expansion of expr, where expr is a periodic function of t with period 1.
Details and Options
- To use
, you first need to load the Fourier Series Package using Needs["FourierSeries`"]. - The n
coefficient in the Fourier exponential series expansion of expr is by default defined to be Integrate[expr 
2
nt, {t, -
, 
}]. - If n is numeric, it should be an explicit integer.
- Different choices for the definition of the Fourier exponential series expansion can be specified using the option FourierParameters.
- With the setting FourierParameters->{a, b}, expr is assumed to have a period of
, and the n
coefficient computed by 
is 
. - In addition to the option FourierParameters,
can also accept the options available to Integrate. These options are passed directly to Integrate.
