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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 trigonometric functions and a power function > Involving cos and power > Linear arguments





http://functions.wolfram.com/03.01.21.0040.01









  


  










Input Form





Integrate[z^(\[Alpha] - 1) Cos[a z] BesselJ[\[Nu], a z], z] == (z^\[Alpha] (a z)^\[Nu] HypergeometricPFQ[{1/4 + \[Nu]/2, 3/4 + \[Nu]/2, \[Alpha]/2 + \[Nu]/2}, {1/2, 1 + \[Alpha]/2 + \[Nu]/2, 1/2 + \[Nu], 1 + \[Nu]}, (-a^2) z^2])/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