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Mathematica > Mathematics and Algorithms > Calculus > Integral Transforms > FourierSinTransform >

BUILT-IN MATHEMATICA SYMBOL

FourierSinTransform

gives the symbolic Fourier sine transform of expr.

gives the multidimensional Fourier sine transform of expr.

Different choices of definitions can be specified using the option FourierParameters.

With the setting the Fourier sine transform computed by FourierSinTransform is .

Assumptions and other options to Integrate can also be given in FourierSinTransform.

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Elementary functions:

Special functions:

Generalized functions:

Multivariate transforms:

Fourier sine transform of BesselJ is a piecewise function:

The default setting for FourierParameters is

Use a nondefault setting for a different definition of the transform:

To get the inverse, use the same FourierParameters setting:

Use GenerateConditions->True to get the parameter conditions necessary for the result to be valid:

Results from FourierSinTransform and FourierTransform differ by a factor of I for odd functions:

The Fourier sine transform may be given in terms of generalized functions such as DiracDelta:

The Fourier sine transform represented in terms of MeijerG: