The monomiality principle has allowed the derivation, in a fairly straightforward way, of the properties of many families of special polynomials, recognized as quasi monomials. The family of quasi- monomials is large, but not all the special polynomials can be framed within this category. In this paper we will prove the existence of a larger family, including the quasi-monomials, by taking advantage from the umbral calculus and by introducing the concept of monum- brality, which appears very useful to get a deeper understanding in the nature and role of special polynomials.
Beyond the monomiality: the Monumbrality Principle
CESARANO C
2004-01-01
Abstract
The monomiality principle has allowed the derivation, in a fairly straightforward way, of the properties of many families of special polynomials, recognized as quasi monomials. The family of quasi- monomials is large, but not all the special polynomials can be framed within this category. In this paper we will prove the existence of a larger family, including the quasi-monomials, by taking advantage from the umbral calculus and by introducing the concept of monum- brality, which appears very useful to get a deeper understanding in the nature and role of special polynomials.File in questo prodotto:
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