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BesselY






Mathematica Notation

Traditional Notation









Bessel-Type Functions > BesselY[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/03.03.21.0021.01









  


  










Input Form





Integrate[(z^(\[Alpha] - 1) BesselY[\[Nu], a z])/E^(I a z), z] == (1/Pi) ((z^\[Alpha] ((1/(-\[Alpha] + \[Nu])) (4^\[Nu] Gamma[\[Nu]] HypergeometricPFQ[{1/2 - \[Nu], \[Alpha] - \[Nu]}, {1 - 2 \[Nu], 1 + \[Alpha] - \[Nu]}, -2 I a z]) - (1/(\[Alpha] + \[Nu])) ((a z)^(2 \[Nu]) Cos[Pi \[Nu]] Gamma[-\[Nu]] HypergeometricPFQ[{1/2 + \[Nu], \[Alpha] + \[Nu]}, {1 + \[Alpha] + \[Nu], 1 + 2 \[Nu]}, -2 I a z])))/ (2^\[Nu] (a z)^\[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