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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 Laguerre L





http://functions.wolfram.com/07.45.26.0028.01









  


  










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)) z^(1/2 + \[Mu]) MeijerG[{{1/2 - \[Mu] + \[Nu]}, {1/2 - \[Mu] - \[Nu]}}, {{0, 1/2 - \[Mu], -\[Mu]}, {-2 \[Mu]}}, z^2/4] /; Inequality[-(Pi/2), Less, Arg[z], LessEqual, Pi/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





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