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Orientador(es)
Resumo(s)
We study orthogonal polynomials on quadratic lattices with respect to
a Stieltjes function, S, that satisfies a difference equation ADS = CMS+D; where A
is a polynomial of degree less or equal than 3 and C is a polynomial of degree greater
or equal than 1 and less or equal than 2. We show systems of difference equations for
the orthogonal polynomials that arise from the so-called compatibility conditions.
Some closed formulae for the recurrence relation coefficients are obtained.
Descrição
Palavras-chave
Discrete orthogonal polynomials Quadratic lattice Divided-dierence operator Semi-classical class
Contexto Educativo
Citação
G. Filipuk and M.N. Rebocho, Discrete semi-classical orthogonal polynomials of class one on quadratic lattices, Journal of Difference Equations and Applications 25, no. 1 (2019) 1-20.