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variants of this functions
KelvinBei






Mathematica Notation

Traditional Notation









Bessel-Type Functions > KelvinBei[nu,z] > Representations through more general functions > Through Meijer G > Generalized cases involving 0F1





http://functions.wolfram.com/03.17.26.0084.01









  


  










Input Form





Hypergeometric0F1[1 + \[Nu], (I z^2)/4] KelvinBei[\[Nu], z] == (-((I Sqrt[Pi])/(2 Sqrt[2]))) Gamma[1 + \[Nu]] (E^((3 I Pi \[Nu])/4) MeijerG[{{(3 - \[Nu])/4, (1 - \[Nu])/4}, {}}, {{\[Nu]/4}, {-(\[Nu]/4), (2 + \[Nu])/4, (2 - \[Nu])/4, (2 - 3 \[Nu])/4, -((3 \[Nu])/4)}}, z/2, 1/4] + I E^((3 I Pi \[Nu])/4) MeijerG[{{(3 - \[Nu])/4, (1 - \[Nu])/4}, {}}, {{(2 + \[Nu])/4}, {-(\[Nu]/4), \[Nu]/4, (2 - \[Nu])/4, (2 - 3 \[Nu])/4, -((3 \[Nu])/4)}}, z/2, 1/4] - (Pi 2^((1 - \[Nu])/2) MeijerG[{{}, {(2 + \[Nu])/4}}, {{\[Nu]/4}, {-(\[Nu]/4), (2 - \[Nu])/4, -((3 \[Nu])/4), (2 + \[Nu])/4}}, z/(2 Sqrt[2]), 1/4])/E^((3 I Pi \[Nu])/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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