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BesselY






Mathematica Notation

Traditional Notation









Bessel-Type Functions > BesselY[nu,z] > Series representations > Generalized power series > Expansions at z==0 > For the function itself > Generic formulas for main term





http://functions.wolfram.com/03.03.06.0048.01









  


  










Input Form





BesselY[\[Nu], z] \[Proportional] Piecewise[{{(2/Pi) Log[z/2] + (2/Pi) EulerGamma, \[Nu] == 0}, {-(((-1)^((Abs[\[Nu]] - \[Nu])/2) (Abs[\[Nu]] - 1)!)/Pi)/ (z/2)^Abs[\[Nu]], Element[\[Nu], Integers] && \[Nu] != 0}}, (-((Cos[Pi \[Nu]] Gamma[-\[Nu]])/Pi)) (z/2)^\[Nu] - Gamma[\[Nu]]/Pi/(z/2)^\[Nu]] /; (z -> 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)





2007-05-02





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