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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 Laguerre L





http://functions.wolfram.com/07.45.26.0046.01









  


  








Input Form





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