Discrete Painlevé Equations for Recurrence Coefficients of Laguerre-Hahn Orthogonal Polynomials of Class One

In this paper we study recurrences for Laguerre-Hahn orthogonal polynomials of class one. It is shown for some families of such Laguerre-Hahn polynomials that the coefficients of the three term recurrence relation satisfy some forms of discrete Painlevé equations, namely, dPI and dPIV .

Detalhes bibliográficos
Autor principal: Rebocho, M. N. (author)
Outros Autores: Filipuk, Galina (author)
Formato: preprint
Idioma:eng
Publicado em: 2020
Assuntos:
Texto completo:http://hdl.handle.net/10400.6/9001
País:Portugal
Oai:oai:ubibliorum.ubi.pt:10400.6/9001