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Integration in the umbral calculus

โœ 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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๐Ÿ“œ SIMILAR VOLUMES


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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

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## 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