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http://hdl.handle.net/20.500.11960/3085| Title: | Around operators not increasing the degree of polynomials |
| Authors: | Mesquita, Teresa A. Maroni, P. |
| Keywords: | Classical orthogonal polynomials Differential operators Appell polynomial sequences Two-orthogonal polynomials |
| Issue Date: | 2019 |
| Citation: | 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 |
| Abstract: | 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 |
| Appears in Collections: | ESTG - Artigos indexados à WoS/Scopus |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 2019_operators.pdf Restricted Access | 1.57 MB | Adobe PDF | View/Open Request a copy |
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