Author(s):
Mesquita, Teresa A. ; Maroni, P.
Date: 2019
Persistent ID: http://hdl.handle.net/20.500.11960/3085
Origin: Repositório Científico IPVC
Subject(s): Classical orthogonal polynomials; Differential operators; Appell polynomial sequences; Two-orthogonal polynomials
Description
We present a generic operator J defined on the vectorial space of polynomial functions and we address the problem of finding the polynomial sequences that coincide with the (normalized) J-image of themselves. The technique developed assembles different types of operators and initiates with a transposition of the problem to the dual space. We provide examples for a J limited to three terms.