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SphericalBesselJ




Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/03.21.22.0005.01









  


  








Input Form





LaplaceTransform[t^(\[Alpha] - 1) SphericalBesselJ[\[Nu], t], t, z] == 2^(-1 - \[Nu]) z^(-\[Alpha] - \[Nu]) Sqrt[Pi] Gamma[\[Alpha] + \[Nu]] Hypergeometric2F1Regularized[(\[Alpha] + \[Nu])/2, (1/2) (1 + \[Alpha] + \[Nu]), 3/2 + \[Nu], -(1/z^2)] /; Re[z] > 0 && Re[\[Alpha]] > 0 && Re[\[Alpha] + \[Nu]] > 0








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