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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/07.17.26.0035.01









  


  










Input Form





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










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)





2001-10-29





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