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arXiv:math/9908131 [math.CO]AbstractReferencesReviewsResources

Umbral presentations for polynomial sequences

Brian D. Taylor

Published 1999-08-24Version 1

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.

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