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FourierTrigSeries

FourierTrigSeries[expr, t, k]
gives the order n Fourier trigonometric series expansion of expr, where expr is a periodic function of t with period 1.
  • The order n Fourier exponential series expansion of expr is by default defined to be .
  • The coefficient ck is defined to be and the coefficient dk is defined to be .
  • Different choices for the period of expr can be specified using the option FourierParameters.
  • With the setting FourierParameters->{a, b}, expr is assumed to have a period of , and the order n Fourier exponential series expansion computed by FourierTrigSeries is . Here, the coefficient ck is defined to be and the coefficient dk is defined to be .