# Discrete semiclassical orthogonal polynomials of class 2

## TL;DR

This paper classifies discrete semiclassical orthogonal polynomials of class 2, deriving canonical families through Pearson equations and exploring their limit relations with other polynomial families.

## Contribution

It provides a comprehensive classification of discrete semiclassical orthogonal polynomials of class 2 and analyzes their interrelations via limit processes.

## Key findings

- Canonical families for each class are identified.
- Limit relations between these polynomials and other families are established.
- The solutions to the Pearson equation are fully characterized.

## Abstract

In this contribution, discrete semiclassical orthogonal polynomials of class $s\leq2$ 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.