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SphericalBesselJ




Mathematica Notation

Traditional Notation









Bessel-Type Functions > SphericalBesselJ[nu,z] > Integration > Indefinite integration > Involving functions of the direct function and elementary functions > Involving elementary functions of the direct function and elementary functions > Involving products of the direct function and a power function > Linear arguments





http://functions.wolfram.com/03.21.21.0056.01









  


  








Input Form





Integrate[((a^2 - b^2) z^2 + \[Mu]^2 - (1/2 + \[Nu])^2) SphericalBesselJ[-(1/2) + \[Mu], b z] SphericalBesselJ[\[Nu], a z], z] == z (b z SphericalBesselJ[-(3/2) + \[Mu], b z] SphericalBesselJ[\[Nu], a z] + SphericalBesselJ[-(1/2) + \[Mu], b z] ((-a) z SphericalBesselJ[-1 + \[Nu], a z] + (1/2 - \[Mu] + \[Nu]) SphericalBesselJ[\[Nu], a z]))








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