Deformed Laguerre-Hahn orthogonal polynomials on the real line

Branquinho, A.; Rebocho, M. N.

http://hdl.handle.net/10400.6/9003

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Authors

Branquinho, A.

Rebocho, M. N.

Abstract(s)

We study families of orthogonal polynomials on the real line whose Stieltjes functions satisfy a Riccati type differential equation with polynomial coefficients. We derive discrete dynamical systems, obtained as a result of deformations of the recurrence relation coefficients of the orthogonal polynomials related to the above referred Stieltjes functions.

Keywords

Orthogonal polynomials Semi-classical class Matrix Sylvester differential equations Lax pairs

URI

http://hdl.handle.net/10400.6/9003

Citation

A. Branquinho and M.N. Rebocho, Deformed Laguerre-Hahn orthogonal polynomials on the real line, Applied Mathematics and Computation 233 (2014), 359-368.