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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 1F1





http://functions.wolfram.com/07.44.26.0069.01









  


  








Input Form





(Hypergeometric1F1[1/2 + \[Mu] + \[Nu], 1 + 2 \[Mu], z] WhittakerM[\[Nu], \[Mu], z])/E^(z/2) == ((2^(1/2 - \[Mu]) Pi^(3/2) Gamma[1 + 2 \[Mu]]^2)/ (Gamma[1/2 + \[Mu] - \[Nu]] Gamma[1/2 + \[Mu] + \[Nu]])) MeijerG[{{3/4 - \[Mu]/2 + \[Nu], (1/4) (3 - 2 \[Mu] - 4 \[Nu])}, {(1/4) (3 + 2 \[Mu])}}, {{(1/4) (1 + 2 \[Mu])}, {(1/4) (1 - 2 \[Mu]), (1/4) (3 - 2 \[Mu]), (1/4) (1 - 6 \[Mu]), (1/4) (3 + 2 \[Mu])}}, 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