CRM-ICMAT Workshop on Exceptional Orthogonal Polynomials
and exact Solutions in Mathematical Physics
Segovia (Spain), September 7–12, 2014.
Co-polynomials on the unit circle
Kenier Castillo
Departamento de Matemática Aplicada, Universidade Estadual Paulista, 15054–
000, São José do Rio Preto, SP, Brazil
Abstract
The purpose of the present contribution is to investigate the effects
of finite modifications of Verblunsky coefficients on Szegő recurrences (see
[1]). More precisely, we study the structural relations and the corresponding C–functions of the orthogonal polynomials with respect to these modifications from the initial ones.
References
[1] Castillo, K.: On perturbed Szegő recurrences. J. Math. Anal. Appl. 411
(2014) 742–752.