English

Umbral presentations for polynomial sequences

Combinatorics 2007-05-23 v1

Abstract

Using random variables as motivation, this paper presents an exposition of the formalisms developed by Rota and Taylor for the classical umbral calculus. A variety of examples are presented, culminating in several descriptions of sequences of binomial type in terms of umbral polynomials.

Keywords

Cite

@article{arxiv.math/9908131,
  title  = {Umbral presentations for polynomial sequences},
  author = {Brian D. Taylor},
  journal= {arXiv preprint arXiv:math/9908131},
  year   = {2007}
}

Comments

19 pages