An application of the umbral calculus
β Scribed by Marko Razpet
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 499 KB
- Volume
- 149
- Category
- Article
- ISSN
- 0022-247X
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π 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
The umbral calculus is used to generalize Bernstein polynomials and BΓ©zier curves. This adds great geometric flexibility to these fundamental objects of computer aided geometric design while retaining their basic properties.
## Communicated by Svetlin Georgiev We introduce the umbral calculus formalism for hypercomplex variables starting from the fact that the algebra of multivariate polynomials IROEx shall be described in terms of the generators of the Weyl-Heisenberg algebra. The extension of IROEx to the algebra of