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variants of this functions
KelvinKei




Mathematica Notation

Traditional Notation









Bessel-Type Functions > KelvinKei[z] > Representations through more general functions > Through hypergeometric functions > Involving hypergeometric U





http://functions.wolfram.com/03.15.26.0001.01









  


  








Input Form





KelvinKei[z] == ((-(1/2)) I Sqrt[Pi] HypergeometricU[1/2, 1, 2 (-1)^(1/4) z])/ E^((-1)^(1/4) z) + ((1/2) I Sqrt[Pi] HypergeometricU[1/2, 1, 2 (-1)^(3/4) z])/E^((-1)^(3/4) z) - (1/8) (Pi - 4 I Log[z] + 4 I Log[(-1)^(1/4) z]) Hypergeometric0F1[1, (I z^2)/4] - (1/8) (Pi + 4 I Log[z] - 4 I Log[(-1)^(3/4) z]) Hypergeometric0F1[1, -((I z^2)/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