English

Recent contributions to the calculus of finite differences: a survey

Combinatorics 2016-09-06 v1

Abstract

We retrace the recent history of the Umbral Calculus. After studying the classic results concerning polynomial sequences of binomial type, we generalize to a certain type of logarithmic series. Finally, we demonstrate numerous typical examples of our theory. Nous passons en revue ici les resultats recents du calcul ombral. Nous nous interessons tout d'abord aux resultats classique appliqu\'es aux suites de polyn\^omes de type binomial, pius elargions le champ d'\'etude aux series logarithmiques. Enfin nous donnons de nombreaux exemples types d'application de cette th\'eorie.

Keywords

Cite

@article{arxiv.math/9502210,
  title  = {Recent contributions to the calculus of finite differences: a survey},
  author = {Daniel E. Loeb and Gian-Carlo Rota},
  journal= {arXiv preprint arXiv:math/9502210},
  year   = {2016}
}