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Authors
Advisor(s)
Abstract(s)
A survey is given on sequences of orthogonal polynomials related to
Stieltjes functions satisfying a Riccati type differential equation with polynomial
coeffcients - the so-called Laguerre-Hahn class. The main goal is to describe analytical
aspects, focusing on differential equations for those orthogonal polynomials,
difference and differential equations for the recurrence coeffcients, and distributional
equations for the corresponding linear functionals.
Description
Keywords
Orthogonal polynomials Stieltjes function Laguerre-Hahn class Discrete Painlev e equations Matrix Sylvester equations
Citation
Laguerre-Hahn orthogonal polynomials on the real line, Random Matrices: Theory and Applications, 8, no. 2 (2020) 2040001 (33 pages).