Derangements and asymptotics of Laplace transforms of polynomials

Details Derangements and asymptotics of Laplace transforms of polynomials Derangements and asymptotics of Laplace transforms of polynomials

2004-01-21

arxiv.org/abs/math/0401281v2

Mathematics

Classical Analysis and ODEs

15 pages, LaTeX

Scientific paper

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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