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WhittakerM




Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/07.44.26.0043.01









  


  








Input Form





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





2007-05-02