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WhittakerM




Mathematica Notation

Traditional Notation









Hypergeometric Functions > WhittakerM[nu,mu,z] > Representations through more general functions > Through Meijer G > Generalized cases involving exp and 1F~1





http://functions.wolfram.com/07.44.26.0072.01









  


  








Input Form





E^(z/2) Hypergeometric1F1Regularized[1/2 + \[Mu] - \[Nu], 1 + 2 \[Mu], -z] WhittakerM[\[Nu], \[Mu], z] == ((Sqrt[Pi] Gamma[1 + 2 \[Mu]])/(2^(2 \[Mu]) (z^((1/2) (-1 - 2 \[Mu])) Gamma[1/2 + \[Mu] - \[Nu]] Gamma[1/2 + \[Mu] + \[Nu]]))) MeijerG[{{1/2 - \[Mu] + \[Nu], 1/2 - \[Mu] - \[Nu]}, {}}, {{0}, {-\[Mu], 1 + (1/2) (-1 - 2 \[Mu]), -2 \[Mu]}}, (I z)/2, 1/2]








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