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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 Bessel K





http://functions.wolfram.com/03.17.26.0083.01









  


  










Input Form





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










Standard Form





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MathML Form







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</ci> <apply> <power /> <cn type='integer'> 4 </cn> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <apply> <ci> MeijerG </ci> <list> <list> <cn type='rational'> 1 <sep /> 2 </cn> </list> <list> <cn type='rational'> 1 <sep /> 4 </cn> <apply> <plus /> <ci> &#957; </ci> <apply> <times /> <cn type='integer'> -1 </cn> <cn type='rational'> 1 <sep /> 4 </cn> </apply> </apply> </list> </list> <list> <list> <cn type='integer'> 0 </cn> <ci> &#957; </ci> </list> <list> <apply> <times /> <cn type='integer'> -1 </cn> <ci> &#957; </ci> </apply> <cn type='rational'> 1 <sep /> 4 </cn> <apply> <plus /> <ci> &#957; </ci> <apply> <times /> <cn type='integer'> -1 </cn> <cn type='rational'> 1 <sep /> 4 </cn> </apply> </apply> </list> </list> <apply> <times /> <apply> <power /> <cn type='integer'> -1 </cn> <cn type='rational'> 1 <sep /> 4 </cn> </apply> <ci> z </ci> </apply> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> <apply> <times /> <apply> <times /> <apply> <power /> <exponentiale /> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 3 </cn> <imaginaryi /> <pi /> <ci> &#957; 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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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