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Fourier Series Package Symbol

NFourierCoefficient

NFourierCoefficient[expr, t, n]
gives a numerical approximation to the n

coefficient in the Fourier exponential series expansion of expr, where expr is a periodic function of t with period 1.

To use NFourierCoefficient, you first need to load the Fourier Series Package using Needs["FourierSeries`"].

The numerical approximation to the n coefficient in the Fourier exponential series expansion of expr is by default defined to be , where n must be an 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 NFourierCoefficient is .

In addition to the option FourierParameters, NFourierCoefficient can also accept the options available to NIntegrate. These options are passed directly to NIntegrate.