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variants of this functions
KelvinBer






Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/03.14.21.0002.01









  


  










Input Form





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





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