FourierSeries`

NFourierCoefficient

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 2π.

Details and Options

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 NIntegrate[expr ^-nt,{t,-π,π}], 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 NIntegrate[expr ^-bnt,{t,-,}].
The parameter b in the setting FourierParameters->{a,b} must be numeric.
In addition to the option FourierParameters, NFourierCoefficient can also accept the options available to NIntegrate. These options are passed directly to NIntegrate.