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WhittakerM




Mathematica Notation

Traditional Notation









Hypergeometric Functions > WhittakerM[nu,mu,z] > Identities > Functional identities > Division on even and odd parts and generalization





http://functions.wolfram.com/07.44.17.0017.01









  


  








Input Form





WhittakerM[\[Nu], \[Mu], z] == SuperMinus[A][z] + SuperPlus[A][z] /; SuperPlus[A][z] == (z^(1/2 + \[Mu]) HypergeometricPFQ[ {1/4 + (\[Mu] - \[Nu])/2, 3/4 + (\[Mu] - \[Nu])/2}, {1/2, 1/2 + \[Mu], 1 + \[Mu]}, z^2/4])/E^(z/2) && SuperMinus[A][z] == ((z^(3/2 + \[Mu]) (1 + 2 \[Mu] - 2 \[Nu]))/ (E^(z/2) (2 (1 + 2 \[Mu])))) HypergeometricPFQ[ {3/4 + (\[Mu] - \[Nu])/2, 5/4 + (\[Mu] - \[Nu])/2}, {3/2, 1 + \[Mu], 3/2 + \[Mu]}, z^2/4]








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