The Fourier sine transform is the imaginary part of the full complex Fourier transform,
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The Fourier sine transform of a function is implemented as FourierSinTransform[f, x, k], and different choices of and can be used by passing the optional FourierParameters -> a, b option. In this work, and .
The discrete Fourier sine transform of a list of real numbers can be computed in the Wolfram Language using FourierDST[l].