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variants of this functions
Hypergeometric0F1Regularized




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric0F1Regularized[b,z] > Representations through more general functions > Through Meijer G > Classical cases involving Bessel Y





http://functions.wolfram.com/07.18.26.0137.01









  


  








Input Form





Hypergeometric0F1Regularized[b, -(z^2/4)] BesselY[\[Nu], z] == (-(2^(-1 + b)/Sqrt[Pi])) MeijerG[{{(1 - b)/2, 1 - b/2}, {(1 - \[Nu])/2}}, {{-(\[Nu]/2), \[Nu]/2}, {(1 - \[Nu])/2, 1 - b - \[Nu]/2, 1 - b + \[Nu]/2}}, z^2] /; !(Element[-b - \[Nu], Integers] && -b - \[Nu] >= 0) && !(Element[-b + \[Nu], Integers] && -b + \[Nu] >= 0) && 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