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Derangements and asymptotics of Laplace transforms of polynomials

Liviu I. Nicolaescu
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Abstract

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.

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Liviu I. Nicolaescu. 2004-01-21. Derangements and asymptotics of Laplace transforms of polynomials. https://arxiv.org/abs/math/0401281

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