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variants of this functions
LaguerreL




Mathematica Notation

Traditional Notation









Polynomials > LaguerreL[n,z] > Series representations > Generalized power series > Expansions at n==infinity





http://functions.wolfram.com/05.02.06.0022.01









  


  








Input Form





LaguerreL[n, z] \[Proportional] E^(z/2) Sum[(Subscript[A, k] z^k Hypergeometric0F1Regularized[k + 1, -((z (1 + 2 n))/2)])/2^k, {k, 0, Infinity}] /; (n -> Infinity) && Subscript[A, 0] == 1 && Subscript[A, 1] == 0 && Subscript[A, 2] == 1/2 && Subscript[A, m] == ((m - 1)/m) Subscript[A, m - 2] - (2 n + 1) Subscript[A, m - 3] && Element[m, Integers] && m > 0








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