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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 > Generalized cases involving Bessel J





http://functions.wolfram.com/07.18.26.0175.01









  


  








Input Form





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








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