Discrete semiclassical orthogonal polynomials of class 2

2019/04/26 by Diego Dominici, Dominici, Diego, Español, Francisco Marcellán
Mathematics · #Mathematical functions and polynomials #Iterative Methods for Nonlinear Equations #Mathematical Inequalities and Applications

paper · pdf · doi:10.48550/arxiv.1904.11958

Abstract

In this contribution, discrete semiclassical orthogonal polynomials of class s≤2 are studied. By considering all possible solutions of the Pearson equation, we obtain the canonical families in each class. We also consider limit relations between these and other families of orthogonal polynomials.

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