Baxter algebras and the umbral calculus

Authors
Guo, L
Citation
L. Guo, Baxter algebras and the umbral calculus, ADV APPL MA, 27(2-3), 2001, pp. 405-426
Citations number
18
Categorie Soggetti
Mathematics
Journal title
ADVANCES IN APPLIED MATHEMATICS
ISSN journal
01968858 → ACNP
Volume
27
Issue
2-3
Year of publication
2001
Pages
405 - 426
Database
ISI
SICI code
0196-8858(200108/10)27:2-3<405:BAATUC>2.0.ZU;2-P
Abstract
We apply recent constructions of free Baxter algebras to thc study of the u mbral calculus. We give a characterization of the umbral calculus in terms of the Baxter algebra. This characterization leads to a natural generalizat ion of the umbral calculus that includes the classical umbral calculus in a family of A-umbral calculi parameterized by A in the base ring. (C) 2001 A cademic Press.