Document details

Around operators not increasing the degree of polynomials

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.

Document Type Journal article
Language English
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