InverseFourierCoefficient


gives the function of t whose Fourier exponential series representation has coefficients given by expr, where expr is a function of n.

DetailsDetails

  • To use , you first need to load the Fourier Series Package using Needs["FourierSeries`"].
  • The Fourier exponential series representation used by is by default defined to be .
  • returns a periodic function of t with default period 1.
  • Different choices for the definition of the Fourier exponential series representation can be specified using the option FourierParameters.
  • With the setting FourierParameters->{a, b}, the Fourier exponential series representation used by is , a periodic function of t with period .

ExamplesExamplesopen allclose all

Basic Examples (1)Basic Examples (1)

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Find a function with a given Fourier series:

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Compare with the answer from a numerical approximation:

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