Integration in the umbral calculus
โ Scribed by Kung-Wei Yang
- Publisher
- Elsevier Science
- Year
- 1980
- Tongue
- English
- Weight
- 473 KB
- Volume
- 74
- Category
- Article
- ISSN
- 0022-247X
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๐ SIMILAR VOLUMES
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
## Communicated by K. Guerlebeck In this paper we show a version of the Fueter mapping theorem that can be stated in integral form based on the Cauchy formulas for slice monogenic (or slice regular) functions. More precisely, given a holomorphic function f of a paravector variable, we generate a m