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BesselY






Mathematica Notation

Traditional Notation









Bessel-Type Functions > BesselY[nu,z] > Integration > Indefinite integration > Involving direct function and Bessel-type functions > Involving Bessel functions > Involving Bessel J and power > Power arguments





http://functions.wolfram.com/03.03.21.0107.01









  


  










Input Form





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