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HypergeometricU




Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricU[a,b,z] > Representations through more general functions > Through Meijer G > Classical cases involving 1F~1





http://functions.wolfram.com/07.33.26.0020.01









  


  








Input Form





Hypergeometric1F1Regularized[a, b, -z] HypergeometricU[a, b, z] == (1/(2^b (Sqrt[Pi] Gamma[a]))) MeijerG[{{1 - a}, {1 + a - b}}, {{0, (1 - b)/2, 1 - b/2}, {1 - b}}, z^2/4] /; 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