Monumbral polynomials and the associated formalism

G. Dattoli, P.E. Ricci, C. Cesarano

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

We show that most of the properties of the monomial polynomials can be extended quite straightforwardly to the monumbral case. We show that the formalism underlying the Monumbrality principle allows the derivation of differential equations satisfied by large classes of polynomials ranging from Bernoulli to Laguerre type. We will finally prove the existence of generalized forms of 11 Rodrigues formulae yielding the operational definition of differential types of conventional and generalized polynomials.
Original languageEnglish
Pages (from-to)155 - 162
Number of pages8
JournalIntegral Transforms and Special Functions
Volume13
Issue number2
DOIs
Publication statusPublished - Apr 2002
Externally publishedYes

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All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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