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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 Bessel J





http://functions.wolfram.com/03.19.26.0041.01









  


  










Input Form





BesselJ[-\[Nu], (-1)^(1/4) z] KelvinKei[\[Nu], z] == ((1/8) Sqrt[Pi] z^\[Nu] ((-E^((-I) Pi \[Nu])) (I MeijerG[{{}, {(1/2) (1 - 3 \[Nu])}}, {{0, 1/2, -(\[Nu]/2)}, {(1/2) (1 - 3 \[Nu]), \[Nu]/2}}, z^4/64] + MeijerG[{{}, {-((3 \[Nu])/2)}}, {{0, 1/2, -(\[Nu]/2)}, {-((3 \[Nu])/2), \[Nu]/2}}, z^4/64]) + (1/(Sqrt[2] Pi)) E^(I Pi \[Nu]) (I MeijerG[{{1/4, 3/4}, {}}, {{0, (1 - \[Nu])/2, -(\[Nu]/2)}, {1/2, \[Nu]/2, (1 + \[Nu])/2}}, z^4/16] - MeijerG[{{1/4, 3/4}, {}}, {{1/2, (1 - \[Nu])/2, -(\[Nu]/2)}, {0, \[Nu]/2, (1 + \[Nu])/2}}, z^4/16])))/(E^((3/4) I Pi \[Nu]) ((-1)^(1/4) z)^\[Nu]) /; -(Pi/4) <= Arg[z] <= Pi/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