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http://functions.wolfram.com/03.03.21.0024.01
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Integrate[z^(\[Alpha] - 1) E^(I a z) BesselY[\[Nu], 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]))
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Date Added to functions.wolfram.com (modification date)
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