Please use this identifier to cite or link to this item:
http://hdl.handle.net/20.500.11960/3125
Title: | Symbolic approach to 2-orthogonal polynomial solutions of a third order differential equation |
Authors: | Mesquita, Teresa A. |
Keywords: | d-Orthogonal polynomials Differential operators Symbolic computations |
Issue Date: | 2022 |
Citation: | Mesquita, T. A. (2022). Symbolic approach to 2-orthogonal polynomial solutions of a third order differential equation. Mathematics in Computer Science, 16(1), https://doi.org/10.1007/s11786-022-00525-8 |
Abstract: | In a recent work, a generic differential operator on the vectorial space of polynomial functions was presented and applied in the study of differential relations fulfilled by polynomial sequences either orthogonal or 2-orthogonal. Considering a third order differential operator that does not increase the degree of polynomials, we search for polynomial eigenfunctions with the help of symbolic computations, assuming that those polynomials constitute a 2-orthogonal polynomial sequence. Two examples are extensively described. |
URI: | http://hdl.handle.net/20.500.11960/3125 |
ISSN: | 1661-8270 1661-8289 |
Appears in Collections: | ESTG - Artigos indexados à WoS/Scopus |
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s11786-022-00525-8.pdf Restricted Access | 368.22 kB | Adobe PDF | View/Open Request a copy |
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