A characterization theorem for semi-classical orthogonal polynomials on non uniform lattices (Preprint)

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Type: Preprint
National /International: International
Title: A characterization theorem for semi-classical orthogonal polynomials on non uniform lattices
Publication Date: 2018-03-19
Authors: - Amílcar Branquinho
- Yang Chen
- Galina Filipuk
- Maria das Neves Rebocho
Abstract: It is proved a characterization theorem for semi-classical orthogonal polynomials on non-uniform lattices that states the equivalence between the Pearson equation for the weight and some systems involving the orthogonal polynomials as well as the functions of the second kind. As a consequence, it is deduced the analogue of the so-called compatibility conditions in the ladder operator scheme. The classical orthogonal polynomials on non-uniform lattices are then recovered under such compatibility conditions, through a closed formula for the recurrence coefficients.
Institution: DMUC 18-08
Online version: http://www.mat.uc.pt...prints/eng_2018.html
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