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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 K





http://functions.wolfram.com/07.18.26.0148.01









  


  








Input Form





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








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