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BesselY






Mathematica Notation

Traditional Notation









Bessel-Type Functions > BesselY[nu,z] > Series representations > Asymptotic series expansions > Expansions for any z in trigonometric form > Using trigonometric functions with branch cut-free arguments





http://functions.wolfram.com/03.03.06.0078.01









  


  










Input Form





BesselY[\[Nu], z] \[Proportional] Piecewise[{{(Sqrt[2] Sin[z - (Pi \[Nu])/2 - Pi/4])/(Sqrt[Pi] Sqrt[z]), Arg[z] <= 0}}, (-Sqrt[2]) ((Cos[z - (Pi \[Nu])/2 + Pi/4] + E^(I z + (I Pi \[Nu])/2 + (I Pi)/4) Cos[Pi \[Nu]])/ (Sqrt[Pi] Sqrt[z]))] /; (Abs[z] -> Infinity)










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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