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FourierSinTransform

FourierSinTransform
gives the symbolic Fourier sine transform of expr.
FourierSinTransform
gives the multidimensional Fourier sine transform of expr.
  • The Fourier sine transform of a function is by default defined to be .
  • Other definitions are used in some scientific and technical fields.
  • Different choices of definitions can be specified using the option FourierParameters.
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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:
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