Discrete semi-classical orthogonal polynomials of class one on quadratic lattices (Preprint)

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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
 
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