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variants of this functions
KelvinBei






Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/03.17.20.0020.01









  


  










Input Form





D[KelvinBei[\[Nu], z], {z, \[Alpha]}] == ((2^(-\[Nu] - 1) I z^(-\[Alpha] + \[Nu]))/Gamma[1 - \[Alpha] + \[Nu]]) (HypergeometricPFQ[{(\[Nu] + 1)/2, 1 + \[Nu]/2}, {(\[Nu] - \[Alpha] + 1)/2, 1 + (\[Nu] - \[Alpha])/2, 1 + \[Nu]}, -((I z^2)/4)]/ E^((3/4) I Pi \[Nu]) - E^((3 I Pi \[Nu])/4) HypergeometricPFQ[ {(\[Nu] + 1)/2, 1 + \[Nu]/2}, {(\[Nu] - \[Alpha] + 1)/2, 1 + (\[Nu] - \[Alpha])/2, 1 + \[Nu]}, (I z^2)/4])










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





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