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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/07.17.26.0110.01









  


  










Input Form





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










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