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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=1/2+-n, b=1/2+-m





http://functions.wolfram.com/07.20.03.0138.01









  


  








Input Form





Hypergeometric1F1[1/2 - n, 1/2 + m, z] == (-1)^m (1/2 - m) z^(1 - m) Sum[((-1)^k/k!) LaguerreL[-1 - k + m + n, k, z] ((Gamma[-(1/2) + k + m]/Sqrt[z]) Erfi[Sqrt[z]] - E^z Sum[(-z)^j/Pochhammer[-(1/2) + k + m, 2 + j - k - m], {j, 0, -2 + k + m}] + E^z Sum[(-z)^j/Pochhammer[-(1/2) + k + m, 2 + j - k - m], {j, -1 + k + m, -1}]), {k, 0, -1 + m + n}] /; Element[n, Integers] && n > -m && Element[m, Integers]








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