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WhittakerM






Mathematica Notation

Traditional Notation









Hypergeometric Functions > WhittakerM[nu,mu,z] > Specific values > Specialized values > For fixed z and half-integer parameters > For fixed z and mu=-2m+k/4





http://functions.wolfram.com/07.44.03.0058.01









  


  










Input Form





WhittakerM[-((2 m + 5)/4) - n, -((2 m + 3)/4), z] == (-(1/2)) E^(z/2) (3 + 2 m) z^(5/4 + m/2) Sum[((-1)^k/k!) (Gamma[-(3/2) + k - m] - Gamma[-(3/2) + k - m, z]) LaguerreL[-k + n, k, -z], {k, 0, n}] /; Element[n, Integers] && n >= 0 && Element[m, Integers]










Standard Form





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MathML Form







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Rule Form





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Contributed by





Brychkov Yu.A. (2006)










Date Added to functions.wolfram.com (modification date)





2007-05-02





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