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variants of this functions
KelvinBer




Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/03.18.20.0016.01









  


  








Input Form





D[KelvinBer[\[Nu], z], {z, n}] == (2^(-1 + n - 2 \[Nu]) Sqrt[Pi] z^(-n + \[Nu]) Gamma[1 + \[Nu]] (E^((3 I Pi \[Nu])/2) HypergeometricPFQRegularized[ {(1 + \[Nu])/2, (2 + \[Nu])/2}, {(1/2) (1 - n + \[Nu]), (1/2) (2 - n + \[Nu]), 1 + \[Nu]}, (I z^2)/4] + HypergeometricPFQRegularized[{(1 + \[Nu])/2, (2 + \[Nu])/2}, {(1/2) (1 - n + \[Nu]), (1/2) (2 - n + \[Nu]), 1 + \[Nu]}, -((I z^2)/4)]))/E^((3/4) I Pi \[Nu]) /; 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