FourierSinTransform

FourierSinTransform[expr,t,ω]

gives the symbolic Fourier sine transform of expr.

FourierSinTransform[expr,{t1,t2,},{ω1,ω2,}]

gives the multidimensional Fourier sine transform of expr.

Details and Options

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

Examples

open allclose all

Basic Examples  (3)

In[1]:=
Click for copyable input
Out[1]=
In[1]:=
Click for copyable input
Out[1]=
In[1]:=
Click for copyable input
Out[1]=

Scope  (4)

Options  (3)

Properties & Relations  (2)

Possible Issues  (1)

Neat Examples  (1)

See Also

FourierCosTransform  FourierTransform  FourierDST  FourierSinSeries  FourierSinCoefficient  InverseFourierSinTransform  Convolve

Tutorials

Introduced in 1999
(4.0)