FourierSequenceTransform[expr, n, \[Omega]] gives the Fourier sequence transform of expr.FourierSequenceTransform[expr, {n_1, n_2, ...}, {\[Omega]_1, \[Omega]_2, ...}] gives ...
FourierSinCoefficient[expr, t, n] gives the n\[Null]^th coefficient in the Fourier sine series expansion of expr.FourierSinCoefficient[expr, {t_1, t_2, ...}, {n_1, n_2, ...}] ...
FourierCosSeries[expr, t, n] gives the n\[Null]^th-order Fourier cosine series expansion of expr in t.FourierCosSeries[expr, {t_1, t_2, ...}, {n_1, n_2, ...}] gives the ...
FourierCoefficient[expr, t, n] gives the n\[Null]^th coefficient in the Fourier series expansion of expr.FourierCoefficient[expr, {t_1, t_2, ...}, {n_1, n_2, ...}] gives a ...
FourierTrigSeries[expr, t, n] gives the n\[Null]^th-order Fourier trigonometric series expansion of expr in t.FourierTrigSeries[expr, {t_1, t_2, ...}, {n_1, n_2, ...}] gives ...
FourierSinSeries[expr, t, n] gives the n\[Null]^th-order Fourier sine series expansion of expr in t.FourierSinSeries[expr, {t_1, t_2, ...}, {n_1, n_2, ...}] gives the ...
When you have numerical data, it is often convenient to find a simple formula that approximates it. For example, you can try to "fit" a line or curve through the points in ...
FourierSeries, FourierTrigSeries, and FourierCoefficient are part of the Mathematica kernel. FourierSinCoefficient and FourierCosCoefficient are now in the built-in ...
One-dimensional Laplace transforms. The Laplace transform of a function f(t) is given by ∫_0^∞f(t)e^-stt. The inverse Laplace transform of F(s) is given for suitable γ by ( ...
Mathematica applies its strengths in calculus to the intricacies of integral transforms, with a host of original algorithms that probably now reach almost any closed form ...