FourierCosTransform[expr, t, ]
gives the symbolic Fourier cosine transform of expr.

FourierCosTransform[expr, {t1, t2, ...}, {1, 2, ...}]
gives the multidimensional Fourier cosine transform of expr.

Details and OptionsDetails and Options

  • 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.
  • With the setting TemplateBox[{FourierParameters, paclet:ref/FourierParameters}, RefLink, BaseStyle -> InlineFormula]->{a,b} the Fourier cosine transform computed by FourierCosTransform is .
  • Assumptions and other options to Integrate can also be given in FourierCosTransform.
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