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
Baxter Algebras and Shuffle Products
β Scribed by Li Guo; William Keigher
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 353 KB
- Volume
- 150
- Category
- Article
- ISSN
- 0001-8708
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β¦ Synopsis
P(x) P( y)+P(xy)=P(xP( y))+P( yP(x))
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