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variants of this functions
KelvinKer






Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/03.20.26.0075.01









  


  










Input Form





BesselI[-\[Nu], (-1)^(1/4) z] KelvinKer[\[Nu], z] == ((1/8) E^((3 I Pi \[Nu])/4) Sqrt[Pi] z^\[Nu] (E^(I Pi \[Nu]) (MeijerG[{{}, {(1 - 3 \[Nu])/2}}, {{0, 1/2, -(\[Nu]/2)}, {(1 - 3 \[Nu])/2, \[Nu]/2}}, z/(2 Sqrt[2]), 1/4] + I MeijerG[{{}, {-((3 \[Nu])/2)}}, {{0, 1/2, -(\[Nu]/2)}, {-((3 \[Nu])/2), \[Nu]/2}}, z/(2 Sqrt[2]), 1/4]) + (1/(E^(I Pi \[Nu]) (Sqrt[2] Pi))) (MeijerG[{{1/4, 3/4}, {}}, {{0, (1 - \[Nu])/2, -(\[Nu]/2)}, {1/2, \[Nu]/2, (1 + \[Nu])/2}}, z/2, 1/4] - I MeijerG[{{1/4, 3/4}, {}}, {{1/2, (1 - \[Nu])/2, -(\[Nu]/2)}, {0, \[Nu]/2, (1 + \[Nu])/2}}, z/2, 1/4])))/((-1)^(1/4) z)^\[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





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