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variants of this functions
KelvinKei






Mathematica Notation

Traditional Notation









Bessel-Type Functions > KelvinKei[nu,z] > Representations through more general functions > Through Meijer G > Classical cases involving 0F~1





http://functions.wolfram.com/03.19.26.0050.01









  


  










Input Form





Hypergeometric0F1Regularized[-\[Nu] + 1, (I Sqrt[z])/4] KelvinKei[\[Nu], z^(1/4)] == 2^(-3 - \[Nu]) E^((3 I Pi \[Nu])/4) Sqrt[Pi] z^\[Nu] (E^(I Pi \[Nu]) (I MeijerG[{{}, {(1 - 3 \[Nu])/2}}, {{0, 1/2, -(\[Nu]/2)}, {(1 - 3 \[Nu])/2, \[Nu]/2}}, z/64] - MeijerG[{{}, {-((3 \[Nu])/2)}}, {{0, 1/2, -(\[Nu]/2)}, {-((3 \[Nu])/2), \[Nu]/2}}, z/64]) - (1/(Sqrt[2] Pi)) ((I MeijerG[{{1/4, 3/4}, {}}, {{0, (1 - \[Nu])/2, -(\[Nu]/2)}, {1/2, \[Nu]/2, (1 + \[Nu])/2}}, z/16] + MeijerG[{{1/4, 3/4}, {}}, {{1/2, (1 - \[Nu])/2, -(\[Nu]/2)}, {0, \[Nu]/2, (1 + \[Nu])/2}}, z/16])/E^(I Pi \[Nu])))










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