Derangements and asymptotics of Laplace transforms of polynomials

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We use a probabilistic approach to describe the behavior as $n -> \infty$ of the Laplace transforms of $P^n$, where $P$ a fixed complex polynomial. As a consequence we obtain a new elementary proof of an result of Gillis-Ismail-Offer in the combinatorial theory of derangements.
15 pages, LaTeX

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Classical Analysis and ODEs, Combinatorics, 41A10,44A10, 05A10,05A16

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http://salesiana.dossiersoluciones.com/handle/123456789/69921

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0401281
 http://arxiv.org/abs/math/0401281

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arXiv