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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 exp and 1F1





http://functions.wolfram.com/07.33.26.0015.01









  


  








Input Form





(Hypergeometric1F1[b - a, b, Sqrt[z]] HypergeometricU[a, b, Sqrt[z]])/ E^Sqrt[z] == (Gamma[b]/(2^b (Sqrt[Pi] Gamma[a]))) MeijerG[{{1 - a}, {1 + a - b}}, {{(1 - b)/2, 1 - b/2, 0}, {1 - b}}, z/4]








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)





2003-08-21