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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 I





http://functions.wolfram.com/07.18.26.0129.01









  


  








Input Form





Hypergeometric0F1Regularized[b, z^2/4] BesselI[1 - b, z] == (2^(-1 + b)/Sqrt[Pi]) Exp[(Pi I (b - 1))/2] MeijerG[{{1 - b/2}, {}}, {{(1 - b)/2}, {(b - 1)/2, (3/2) (1 - b)}}, -z^2] /; Inequality[-Pi, Less, Arg[z], LessEqual, 0]








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