Utilize este identificador para referenciar este registo:
https://hdl.handle.net/10316/112201
Título: | Classical Orthogonal Polynomials Revisited | Autor: | Castillo, K. Petronilho, J. |
Palavras-chave: | Moment linear functionals; classical orthogonal polynomials; algebraic theory of orthogonal polynomials | Data: | 2023 | Editora: | Springer Nature | Título da revista, periódico, livro ou evento: | Results in Mathematics | Volume: | 78 | Número: | 4 | Resumo: | This manuscript contains a small portion of the algebraic theory of orthogonal polynomials developed by Maroni and their applicability to the study and characterization of the classical families, namely Hermite, Laguerre, Jacobi, and Bessel polynomials. It is presented a cyclical proof of some of the most relevant characterizations, particularly those due to Al-Salam and Chihara, Bochner, Hahn, Maroni, and McCarthy. Two apparently new characterizations are also added. Moreover, it is proved through an equivalence relation that, up to constant factors and affine changes of variables, the four families of polynomials named above are the only families of classical orthogonal polynomials. | URI: | https://hdl.handle.net/10316/112201 | ISSN: | 1422-6383 1420-9012 |
DOI: | 10.1007/s00025-023-01934-2 | Direitos: | openAccess |
Aparece nas coleções: | FCTUC Matemática - Artigos em Revistas Internacionais I&D CMUC - Artigos em Revistas Internacionais |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
---|---|---|---|---|
Classical-Orthogonal-Polynomials-RevisitedResults-in-Mathematics.pdf | 496.36 kB | Adobe PDF | Ver/Abrir |
Visualizações de página
58
Visto em 25/set/2024
Downloads
35
Visto em 25/set/2024
Google ScholarTM
Verificar
Altmetric
Altmetric
Este registo está protegido por Licença Creative Commons