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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 cosh





http://functions.wolfram.com/07.45.26.0007.01









  


  










Input Form





Cosh[z/2] WhittakerW[\[Nu], \[Mu], z] == (1/(2 Gamma[1/2 - \[Mu] - \[Nu]] Gamma[1/2 + \[Mu] - \[Nu]])) MeijerG[{{1 + \[Nu]}, {}}, {{\[Mu] + 1/2, 1/2 - \[Mu]}, {}}, z] + (1/2) MeijerG[{{}, {1 - \[Nu]}}, {{\[Mu] + 1/2, 1/2 - \[Mu]}, {}}, z]










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