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http://hdl.handle.net/20.500.11960/3085| Título: | Around operators not increasing the degree of polynomials |
| Autores: | Mesquita, Teresa A. Maroni, P. |
| Palavras-chave: | Classical orthogonal polynomials Differential operators Appell polynomial sequences Two-orthogonal polynomials |
| Data: | 2019 |
| Citação: | Mesquita, T. A., & Maroni, P. (2019). Around operators not increasing the degree of polynomials. Integral Transforms and Special Functions, 30(5), 383-399. https://doi.org/10.1080/10652469.2019.1573423 |
| Resumo: | 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. |
| URI: | http://hdl.handle.net/20.500.11960/3085 |
| ISSN: | 1065-2469 1476-8291 |
| Aparece nas colecções: | ESTG - Publicações indexadas à WoS/Scopus |
Ficheiros deste registo:
| Ficheiro | Descrição | Tamanho | Formato | |
|---|---|---|---|---|
| 2019_operators.pdf Restricted Access | 1.57 MB | Adobe PDF | Ver/Abrir Request a copy |
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