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SphericalBesselJ




Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/03.21.20.0020.01









  


  








Input Form





D[SphericalBesselJ[\[Nu], z], {z, n}] == 2^(1/2 - n) Pi n! Sum[((1/k!) 2^(2 k) HypergeometricPFQRegularized[{-(k/2), (1 - k)/2}, {1 - k + n, (1/4) (1 - 2 k), (1/4) (3 - 2 k)}, -(z^2/4)] SphericalBesselJ[k - n + \[Nu], z])/z^k, {k, 0, 2 n}] /; Element[n, Integers] && n >= 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