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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/07.18.26.0123.01









  


  










Input Form





Hypergeometric0F1Regularized[b, z^2/4] BesselI[\[Nu], z] == Sqrt[Pi] Csc[(Pi (1 + 2 b + 2 \[Nu]))/4] 2^(-1 + b) MeijerG[{{(1 - b)/2, 1 - b/2}, {(3 - 2 b)/4}}, {{\[Nu]/2}, {-(\[Nu]/2), 1 - b + \[Nu]/2, 1 - b - \[Nu]/2, (3 - 2 b)/4}}, z^2] /; !(Element[-b - \[Nu], Integers] && -b - \[Nu] >= 0) && 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





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