Utilize este identificador para referenciar este registo:
http://hdl.handle.net/20.500.11960/3125
Título: | Symbolic approach to 2-orthogonal polynomial solutions of a third order differential equation |
Autores: | Mesquita, Teresa A. |
Palavras-chave: | d-Orthogonal polynomials Differential operators Symbolic computations |
Data: | 2022 |
Citação: | 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 |
Resumo: | 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 |
Aparece nas colecções: | ESTG - Artigos indexados à WoS/Scopus |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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s11786-022-00525-8.pdf Restricted Access | 368.22 kB | Adobe PDF | Ver/Abrir Request a copy |
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