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NFourierCoefficient

NFourierCoefficient[expr, t, n]
gives a numerical approximation to the n^(th) coefficient in the Fourier exponential series expansion of expr, where expr is a periodic function of t with period 2 pi.
  • The numerical approximation to the n^(th) 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^(th) coefficient computed by NFourierCoefficient is .
Needs["FourierSeries`"]
Use different definitions for calculating numerical approximation for a Fourier coefficient:
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Compare with the answer from symbolic evaluation:
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