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Recent contributions to the calculus of finite differences: a survey

Daniel E. Loeb·Gian-Carlo Rota
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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 appliqués aux suites de polynômes de type binomial, pius elargions le champ d'étude aux series logarithmiques. Enfin nous donnons de nombreaux exemples types d'application de cette théorie.

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Daniel E. Loeb, Gian-Carlo Rota. 1995-02-09. Recent contributions to the calculus of finite differences: a survey. https://arxiv.org/abs/math/9502210

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