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BesselJ






Mathematica Notation

Traditional Notation









Bessel-Type Functions > BesselJ[nu,z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving exponential function and a power function > Involving exp and power > Linear arguments





http://functions.wolfram.com/03.01.21.0023.01









  


  










Input Form





Integrate[z^(\[Alpha] - 1) E^(I a z) BesselJ[\[Nu], a z], z] == (z^\[Alpha] (a z)^\[Nu] HypergeometricPFQ[{1/2 + \[Nu], \[Alpha] + \[Nu]}, {1 + \[Alpha] + \[Nu], 1 + 2 \[Nu]}, 2 I a z])/2^\[Nu]/ ((\[Alpha] + \[Nu]) Gamma[1 + \[Nu]])










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)





2001-10-29