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variants of this functions
KelvinKer




Mathematica Notation

Traditional Notation









Bessel-Type Functions > KelvinKer[z] > Representations through more general functions > Through Meijer G > Classical cases involving 0F1





http://functions.wolfram.com/03.16.26.0027.01









  


  








Input Form





Hypergeometric0F1[1, (I z^2)/4] KelvinKer[z] == (1/8) Sqrt[Pi] (MeijerG[{{}, {}}, {{0, 0}, {0, 1/2}}, z^4/64] + I MeijerG[{{}, {}}, {{0, 1/2}, {0, 0}}, z^4/64] + (1/(Sqrt[2] Pi)) (MeijerG[{{1/4, 3/4}, {}}, {{0, 0, 1/2}, {0, 1/2, 1/2}}, z^4/16] - I MeijerG[{{1/4, 3/4}, {}}, {{0, 1/2, 1/2}, {0, 0, 1/2}}, z^4/16])) /; Inequality[-(Pi/4), Less, Arg[z], LessEqual, 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