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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 J





http://functions.wolfram.com/07.17.26.0117.01









  


  










Input Form





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