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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/07.18.26.0126.01









  


  








Input Form





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





2007-05-02