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variants of this functions
Hypergeometric1F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric1F1[a,b,z] > Specific values > Specialized values > For fixed z and with symbolical integers in parameters > For fixed z and a=n, b=1/2+-m





http://functions.wolfram.com/07.20.03.0125.01









  


  








Input Form





Hypergeometric1F1[n, 1/2 - m, z] == (-(1/2 + m)) z^(1/2 + m) E^z Sum[(1/k!) ((-1)^k (Gamma[-(1/2) + k - m] - Gamma[-(1/2) + k - m, z]) LaguerreL[-1 - k + n, k, -z]), {k, 0, -1 + 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