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Authors
Advisor(s)
Abstract(s)
Sequences of orthogonal polynomials on the unit circle whose Carath´eodory
function satisfies a Riccati-type differential equation with polynomial
coefficients are studied. 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.
Description
Keywords
Orthogonal polynomials
Citation
A. Branquinho and M.N. Rebocho, Difference and differential equations for deformed Laguerre-Hahn orthogonal polynomials on the unit circle, Journal of Physics A: Mathematical and Theoretical 44 (46) (2011), 465204.