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SphericalBesselJ




Mathematica Notation

Traditional Notation









Bessel-Type Functions > SphericalBesselJ[nu,z] > Differentiation > Fractional integro-differentiation > With respect to z





http://functions.wolfram.com/03.21.20.0022.01









  


  








Input Form





D[SphericalBesselJ[\[Nu], z], {z, \[Alpha]}] == (-1)^(1/2 + \[Nu]) 2^(1 + \[Alpha] + 2 \[Nu]) Pi z^(-1 - \[Alpha] - \[Nu]) Gamma[-\[Nu]] HypergeometricPFQRegularized[{(1 - \[Nu])/2, -(\[Nu]/2)}, {1/2 - \[Nu], (1/2) (-\[Alpha] - \[Nu]), (1/2) (1 - \[Alpha] - \[Nu])}, -(z^2/4)] /; Element[-\[Nu] - 1/2, Integers] && -\[Nu] - 1/2 > 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