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Advisor(s)
Abstract(s)
We study orthogonal polynomials related to Stieltjes functions satisfying Riccati type differential equations
with polynomial coefficients, AS0 = BS2 + CS + D, with max {deg(A); deg(B)} <= 3; deg(C) <= 2. We
derive recurrences for the three-term recurrence relation coefficients of the orthogonal polynomials, including
connections with some forms of discrete Painlevé equations.
Description
Keywords
Orthogonal polynomials Stieltjes function Laguerre-Freud equations Painlev´e equations
Citation
G. Filipuk and M.N. Rebocho, Classification of Laguerre-Hahn orthogonal polynomials of class one, Mathematische Nachrichten. 2019; 1-19.