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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).
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.
ISBN: 978-989-53496-3-0
Appears in Collections:ESTG - Artigos em conferência

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