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Fourier Series Package Symbol

FourierCoefficient

FourierCoefficient[expr, t, n]
gives the n

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

To use FourierCoefficient, 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 .

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 FourierCoefficient is .

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

Needs["FourierSeries`"]

Use different definitions for calculating a coefficient in a Fourier series: