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SphericalBesselJ




Mathematica Notation

Traditional Notation









Bessel-Type Functions > SphericalBesselJ[nu,z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving exponential function > Involving exp > Power arguments





http://functions.wolfram.com/03.21.21.0014.01









  


  








Input Form





Integrate[SphericalBesselJ[\[Nu], a z^r]/E^(I a z^r), z] == ((2^(-1 - \[Nu]) Sqrt[Pi] z (a z^r)^\[Nu])/ ((1 + r \[Nu]) Gamma[3/2 + \[Nu]])) HypergeometricPFQ[ {1 + \[Nu], 1/r + \[Nu]}, {1 + 1/r + \[Nu], 2 + 2 \[Nu]}, -2 I a z^r]








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