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variants of this functions
Hypergeometric1F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric1F1[a,b,z] > Series representations > Asymptotic series expansions





http://functions.wolfram.com/07.20.06.0019.01









  


  








Input Form





Hypergeometric1F1[a, b, z] \[Proportional] (Gamma[b]/Gamma[a]) E^z z^(a - b) (Sum[(Pochhammer[b - a, k] Pochhammer[1 - a, k])/k!/z^k, {k, 0, n}] + O[z^(-n - 1)]) + ((Gamma[b]/Gamma[b - a]) (Sum[((-1)^k Pochhammer[a, k] Pochhammer[a - b + 1, k])/k!/z^k, {k, 0, n}] + O[z^(-n - 1)]))/(-z)^a /; (Abs[z] -> Infinity)








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