Fourier series coefficient of polynomials over the standard period
FourierCoefficient[expr, t, n]
FourierCoefficient[expr, {t1, t2, …}, {n1, n2, …}]
FourierCoefficient[t ^ 2 + t, t, 5]
→ -2/25 - I/5FourierCoefficient[t ^ 2 + t, t, n]
→ Piecewise[{{Pi^2/3, n == 0}}, (I*(-1)^n)/n + (2*(-1)^n)/n^2]FourierCoefficient[1, t, n]
→ DiscreteDelta[n]- Assumptions — default $Assumptions
- FourierParameters — default { 1 , 1 }
- GenerateConditions — default False