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http://hdl.handle.net/20.500.11960/2886
Title: | Some 2-orthogonal polynomial eigenfunctions |
Authors: | Mesquita, Teresa A. |
Keywords: | d-orthogonal polynomials Diferential operators Polynomial eigenfunctions |
Issue Date: | 27-Jun-2022 |
Publisher: | ISEP |
Citation: | Mesquita, T. A. (2022). Some 2-orthogonal polynomial eigenfunctions. In C. M. A. Pinto, J. Mendonça, L. Babo, & D. Baleanu (Eds.), International conference on mathematical analysis and applications in science and engineering : book of extended abstracts (pp. 389-392). https://doi.org/10.34630/20734 |
Abstract: | The use of a general di↵erential operator on the vectorial space of polynomial functions that does not increase the degree of polynomials [5] and its properties allowed the development of algebraic techniques for finding the corresponding polynomial eigenfunctions. We present further results of a recent symbolic approach [6] regarding di↵erential relations of third order and a specific type of multiple orthogonal polynomials, namely the 2-orthogonal polynomial sequences. These polynomial sequences are described by the corresponding fourterm recurrence relation, and its classical character is analysed. |
URI: | http://hdl.handle.net/20.500.11960/2886 |
ISBN: | 978-989-53496-3-0 |
Appears in Collections: | ESTG - Artigos em conferência |
Files in This Item:
File | Description | Size | Format | |
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Brief_ICMASC2022_BOOK.pdf Restricted Access | 872.98 kB | Adobe PDF | View/Open Request a copy |
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