Recent contributions to the calculus of finite differences: a survey

Details Recent contributions to the calculus of finite differences: a survey Recent contributions to the calculus of finite differences: a survey

1995-02-09

arxiv.org/abs/math/9502210v1

Mathematics

Combinatorics

Scientific paper

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.

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