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variants of this functions
KelvinBei




Mathematica Notation

Traditional Notation









Bessel-Type Functions > KelvinBei[z] > Integration > Definite integration





http://functions.wolfram.com/03.13.21.0002.01









  


  








Input Form





Integrate[(t^(\[Alpha] - 1) KelvinBei[t])/E^(p t), {t, 0, Infinity}] == (1/4) p^(-2 - \[Alpha]) Gamma[2 + \[Alpha]] HypergeometricPFQ[{(\[Alpha] + 2)/4, (\[Alpha] + 3)/4, 1 + \[Alpha]/4, (\[Alpha] + 5)/4}, {1, 3/2, 3/2}, -(1/p^4)] /; Re[\[Alpha]] > -2 && (Re[p] > 1/Sqrt[2] || (Re[p] == 1/Sqrt[2] && Re[\[Alpha]] < 3/2))








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