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SphericalBesselJ






Mathematica Notation

Traditional Notation









Bessel-Type Functions > SphericalBesselJ[nu,z] > Series representations > Asymptotic series expansions > Expansions inside Stokes sectors > Expansions containing z->infinity > In trigonometric form ||| In trigonometric form





http://functions.wolfram.com/03.21.06.0046.01









  


  










Input Form





SphericalBesselJ[\[Nu], z] \[Proportional] (1/z) Sin[z - (Pi \[Nu])/2] HypergeometricPFQ[{1/2 - \[Nu]/2, 1/2 + \[Nu]/2, 1 + \[Nu]/2, -(\[Nu]/2)}, {1/2}, -(1/z^2)] + ((\[Nu] (1 + \[Nu]))/(2 z^2)) Cos[z - (Pi \[Nu])/2] HypergeometricPFQ[{1/2 - \[Nu]/2, 1 - \[Nu]/2, 1 + \[Nu]/2, 3/2 + \[Nu]/2}, {3/2}, -(1/z^2)] /; Abs[Arg[z]] < Pi && (Abs[z] -> Infinity)










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