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Orientador(es)
Resumo(s)
Orthogonal polynomials via polynomial mappings in the framework of the semiclassical class are considered. It is proved that this class is stable under polynomial transformations. Several consequences of this fact are deduced. As an application cubic transformations for semiclassical orthogonal polynomials of class at most 2 are analyzed, recovering and extending some results proved recently for class 1, and producing new examples of semiclassical orthogonal polynomials of classes 1 and 2.
Descrição
Palavras-chave
orthogonal polynomials classical and semiclassical orthogonal polynomials polynomial mappings moment linear functionals.
Contexto Educativo
Citação
Castillo, K., Jesus, M., & Petronilho, J. (2016). On semiclassical orthogonal polynomials via polynomial mappings. Coimbra: Universidade de Coimbra
Editora
Departamento de Matemática, Universidade de Coimbra