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variants of this functions
LaguerreL






Mathematica Notation

Traditional Notation









Hypergeometric Functions > LaguerreL[nu,lambda,z] > Series representations > Asymptotic series expansions





http://functions.wolfram.com/07.03.06.0006.01









  


  










Input Form





LaguerreL[\[Nu], \[Lambda], z] \[Proportional] ((-z)^\[Nu]/Gamma[\[Nu] + 1]) HypergeometricPFQ[ {-\[Nu], -\[Nu] - \[Lambda]}, {}, -(1/z)] - (Sin[\[Nu] Pi]/Pi) Gamma[\[Nu] + \[Lambda] + 1] z^(-\[Nu] - \[Lambda] - 1) E^z HypergeometricPFQ[{1 + \[Nu] + \[Lambda], 1 + \[Nu]}, {}, 1/z] /; (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