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WhittakerW






Mathematica Notation

Traditional Notation









Hypergeometric Functions > WhittakerW[nu,mu,z] > Representations through more general functions > Through Meijer G > Generalized cases involving exp and hypergeometric U





http://functions.wolfram.com/07.45.26.0044.01









  


  










Input Form





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