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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 power function > Involving power > Linear arguments





http://functions.wolfram.com/03.01.21.0005.01









  


  










Input Form





Integrate[z^(\[Alpha] - 1) BesselJ[\[Nu], a z], z] == 2^(-1 - \[Nu]) z^\[Alpha] (a z)^\[Nu] Gamma[(\[Alpha] + \[Nu])/2] HypergeometricPFQRegularized[{(\[Alpha] + \[Nu])/2}, {1 + \[Nu], (1/2) (2 + \[Alpha] + \[Nu])}, (-(1/4)) a^2 z^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)





2001-10-29