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variants of this functions
KelvinBei




Mathematica Notation

Traditional Notation









Bessel-Type Functions > KelvinBei[nu,z] > Integral transforms > Laplace transforms





http://functions.wolfram.com/03.17.22.0001.01









  


  








Input Form





LaplaceTransform[KelvinBei[\[Nu], t], t, z] == (Pi z^(-3 - \[Nu]) Gamma[1 + \[Nu]] ((1 + \[Nu]) (2 + \[Nu]) Cos[(3 Pi \[Nu])/4] HypergeometricPFQRegularized[ {(3 + \[Nu])/4, (4 + \[Nu])/4, (5 + \[Nu])/4, (6 + \[Nu])/4}, {3/2, (2 + \[Nu])/2, (3 + \[Nu])/2}, -(1/z^4)] + 16 z^2 Sin[(3 Pi \[Nu])/4] HypergeometricPFQRegularized[ {(1 + \[Nu])/4, (2 + \[Nu])/4, (3 + \[Nu])/4, (4 + \[Nu])/4}, {1/2, (1 + \[Nu])/2, (2 + \[Nu])/2}, -(1/z^4)]))/2^(2 (2 + \[Nu])) /; Re[\[Nu]] > -1 && Re[z] > 1/Sqrt[2]








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