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variants of this functions
Hypergeometric0F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric0F1[b,z] > Representations through more general functions > Through Meijer G > Classical cases involving Bessel K





http://functions.wolfram.com/07.17.26.0049.01









  


  








Input Form





Hypergeometric0F1[b, -z] BesselK[-1 + b, 2 Sqrt[z]] == ((1/Sqrt[Pi]) Gamma[b] MeijerG[{{}, {}}, {{(3 - b)/4, (1 - b)/4, (1/4) (-1 + b)}, {(3 - 3 b)/4}}, z^2/4])/ 2^((1/2) (3 + b)) /; 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)





2001-10-29