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Baxter Algebras and the Umbral Calculus

✍ Scribed by Li Guo

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 180 KB
Volume: 27
Category: Article
ISSN: 0196-8858
DOI: 10.1006/aama.2001.0742

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✦ Synopsis

We apply recent constructions of free Baxter algebras to the study of the umbral calculus. We give a characterization of the umbral calculus in terms of the Baxter algebra. This characterization leads to a natural generalization of the umbral calculus that includes the classical umbral calculus in a family of λ-umbral calculi parameterized by λ in the base ring.

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