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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 J





http://functions.wolfram.com/07.18.26.0036.01









  


  








Input Form





Hypergeometric0F1Regularized[b, z] BesselJ[1 - b, 2 Sqrt[z]] == 2^((1 - b)/2) Sqrt[Pi] MeijerG[{{}, {(1 + b)/4}}, {{(1 - b)/4, (3 - b)/4}, {(3 - 3 b)/4, (b - 1)/4, (1 + b)/4}}, z^2/4] /; 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)





2001-10-29