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WhittakerW




Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/07.45.26.0024.01









  


  








Input Form





(Hypergeometric1F1Regularized[1/2 + \[Mu] + \[Nu], 1 + 2 \[Mu], Sqrt[z]] WhittakerW[\[Nu], \[Mu], Sqrt[z]])/E^(Sqrt[z]/2) == (2^(-(1/2) - \[Mu])/(Sqrt[Pi] Gamma[1/2 + \[Mu] - \[Nu]])) 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/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