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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/03.03.21.0023.01









  


  










Input Form





Integrate[(z^\[Nu] BesselY[\[Nu], a z])/E^(I a z), z] == (1/(a (1 + 2 \[Nu]) Gamma[-\[Nu]])) ((z^\[Nu] Csc[Pi \[Nu]] ((-I) 2^(1 + \[Nu]) E^(I a z) + I a z (a z)^\[Nu] BesselJ[-1 - \[Nu], a z] Gamma[-\[Nu]] - a z (a z)^\[Nu] BesselJ[-\[Nu], a z] Gamma[-\[Nu]] + a z (a z)^\[Nu] BesselJ[\[Nu], a z] Cos[Pi \[Nu]] Gamma[-\[Nu]] + I a z (a z)^\[Nu] BesselJ[1 + \[Nu], a z] Cos[Pi \[Nu]] Gamma[-\[Nu]]))/ (E^(I a z) (a z)^\[Nu]))










Standard Form





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MathML Form







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Rule Form





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2001-10-29





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