<Reference List> | |
Type: | Preprint |
National /International: | International |
Title: | Discrete semi-classical orthogonal polynomials of class one on quadratic lattices |
Publication Date: | 2018-11-07 |
Authors: |
- Galina Filipuk
- Maria das Neves Rebocho |
Abstract: | We study orthogonal polynomials on quadratic lattices with respect to a Stieltjes function, S, that satisfies a difference equation ADS = CMS+D, where A is a polynomial of degree less or equal than 3 and C is a polynomial of degree greater or equal than 1 and less or equal than 2. We show systems of difference equations for the orthogonal polynomials that arise from the so-called compatibility conditions. Some closed formulae for the recurrence relation coefficients are obtained. |
Institution: | DMUC 18-44 |
Online version: | http://www.mat.uc.pt...prints/eng_2018.html |
Download: | Not available |