<Reference List> | |
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 |
Download: | Not available |