On difference-differential equations for deformed Laguerre-Hahn orthogonal polynomials on the unit circle
 
 
Description:  In this talk we study sequences of orthogonal polynomials on the unit circle whose Carathéodory function satisfies a Riccati-type differential equation with polynomial coefficients. We deduce discrete Lax equations which lead to difference equations for the corresponding sequences of reflection parameters, and we analyze the continuous differential equations that arise when deformations through a dependence on a parameter t occur.
Date:  2012-11-09
Start Time:   14:30
Speaker:  Amílcar Branquinho (CMUC, Univ. Coimbra)
Institution:  CMUC, Univ. Coimbra
Place:  Sala 5.5
Research Groups: -Analysis
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