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variants of this functions
Hypergeometric0F1






Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric0F1[b,z] > Representations through more general functions > Through Meijer G > Classical cases involving Bessel Y





http://functions.wolfram.com/07.17.26.0142.01









  


  










Input Form





Hypergeometric0F1[b, -(z^2/4)] BesselY[-b, z] == (-((2^(-1 + b) Gamma[b])/Sqrt[Pi])) MeijerG[{{(1 - b)/2}, {(b + 1)/2}}, {{-(b/2), b/2}, {1 - (3 b)/2, (b + 1)/2}}, z^2] - (2^(b - 1) Cos[b Pi] Gamma[b])/(z^b Pi) /; 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