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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/07.20.06.0007.01









  


  








Input Form





Hypergeometric1F1[a, b, z] \[Proportional] Gamma[b] (((E^z z^(a - b))/Gamma[a]) (1 + ((-1 + a) (a - b))/z + ((-2 + a) (-1 + a) (-1 + a - b) (a - b))/(2 z^2) + \[Ellipsis]) + (1/((-z)^a Gamma[-a + b])) (1 - (a (1 + a - b))/z + (a (1 + a) (1 + a - b) (2 + a - b))/(2 z^2) + \[Ellipsis])) /; (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)





2001-10-29