English

Derangements and asymptotics of Laplace transforms of polynomials

Classical Analysis and ODEs 2007-05-23 v2 Combinatorics

Abstract

We use a probabilistic approach to describe the behavior as n>n -> \infty of the Laplace transforms of PnP^n, where PP 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.

Keywords

Cite

@article{arxiv.math/0401281,
  title  = {Derangements and asymptotics of Laplace transforms of polynomials},
  author = {Liviu I. Nicolaescu},
  journal= {arXiv preprint arXiv:math/0401281},
  year   = {2007}
}

Comments

15 pages, LaTeX