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FourierCosTransform

FourierCosTransform
gives the symbolic Fourier cosine transform of expr.
FourierCosTransform
gives the multidimensional Fourier cosine transform of expr.
  • The Fourier cosine 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 transform:
Fourier cosine transform of BesselJ is a piecewise function:
The default setting for FourierParameters is :
Use a nondefault setting for a different definition of transform:
To get the inverse, use the same FourierParameters setting:
Use GenerateConditions->True to get parameter conditions for when a result is valid:
Results from FourierCosTransform and FourierTransform agree for even functions:
Fourier cosine transform may be given in terms of generalized functions such as DiracDelta:
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