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BesselY






Mathematica Notation

Traditional Notation









Bessel-Type Functions > BesselY[nu,z] > Representations through more general functions > Through Meijer G > Classical cases involving 0F1





http://functions.wolfram.com/03.03.26.0114.01









  


  










Input Form





BesselY[\[Nu], z] Hypergeometric0F1[-\[Nu], -(z^2/4)] == 2^(-1 - \[Nu]) ((2 z^\[Nu] Cot[Pi \[Nu]])/Gamma[1 + \[Nu]] + (Gamma[-\[Nu]]/Sqrt[Pi]) MeijerG[{{(1 + \[Nu])/2, (2 + \[Nu])/2}, {(1 - \[Nu])/2}}, {{-(\[Nu]/2), (2 + \[Nu])/2}, {(1 - \[Nu])/2, \[Nu]/2, 1 + (3 \[Nu])/2}}, z^2]) /; Inequality[-(Pi/2), Less, Arg[z], LessEqual, Pi/2]










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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