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BesselY






Mathematica Notation

Traditional Notation









Bessel-Type Functions > BesselY[nu,z] > Differentiation > Symbolic differentiation > With respect to z





http://functions.wolfram.com/03.03.20.0012.02









  


  










Input Form





D[BesselY[\[Nu], z], {z, n}] == 2^(n - 2 \[Nu]) Sqrt[Pi] z^(-n - \[Nu]) Csc[Pi \[Nu]] (z^(2 \[Nu]) Cos[Pi \[Nu]] Gamma[1 + \[Nu]] HypergeometricPFQRegularized[{(\[Nu] + 1)/2, (\[Nu] + 2)/2}, {(1 + \[Nu] - n)/2, (2 + \[Nu] - n)/2, 1 + \[Nu]}, -(z^2/4)] - 16^\[Nu] Gamma[1 - \[Nu]] HypergeometricPFQRegularized[ {(1 - \[Nu])/2, (2 - \[Nu])/2}, {(1 - \[Nu] - n)/2, (2 - \[Nu] - n)/2, 1 - \[Nu]}, -(z^2/4)]) /; !Element[\[Nu], Integers] && Element[n, Integers] && n >= 0










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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