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BesselJ






Mathematica Notation

Traditional Notation









Bessel-Type Functions > BesselJ[nu,z] > Integration > Indefinite integration > Involving functions of the direct function and elementary functions > Involving elementary functions of the direct function and elementary functions > Involving powers of the direct function and a power function > Power arguments





http://functions.wolfram.com/03.01.21.0060.01









  


  










Input Form





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





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