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SphericalBesselJ




Mathematica Notation

Traditional Notation









Bessel-Type Functions > SphericalBesselJ[nu,z] > Integral transforms > Fourier cos transforms





http://functions.wolfram.com/03.21.22.0001.01









  


  








Input Form





FourierCosTransform[SphericalBesselJ[\[Nu], t], t, z] == UnitStep[1 - z] ((Sqrt[2] Gamma[(1 + \[Nu])/2])/(\[Nu] Gamma[\[Nu]/2])) Hypergeometric2F1[-(\[Nu]/2), (1 + \[Nu])/2, 1/2, z^2] - UnitStep[z - 1] ((2^(-(1/2) - \[Nu]) z^(-1 - \[Nu]) Gamma[1 + \[Nu]] Sin[(Pi \[Nu])/2])/Gamma[3/2 + \[Nu]]) Hypergeometric2F1[(1 + \[Nu])/2, (2 + \[Nu])/2, 3/2 + \[Nu], 1/z^2] /; z > 0 && z != 1 && Re[\[Nu]] > -1








Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02