Discrete semiclassical orthogonal polynomials of class one
arXiv:1211.2005 · doi:10.2140/pjm.2014.268.389
Abstract
We study the discrete semiclassical orthogonal polynomials of class s=1. By considering all possible solutions of the Pearson equation, we obtain five canonical families. We also consider limit relations between these and other families of orthogonal polynomials.
26 pages
References in corpus (5)
- Discrete semiclassical orthogonal polynomials of class one
- Recurrence Coefficients of a New Generalization of the Meixner Polynomials
- A basic class of symmetric orthogonal polynomials of a discrete variable
- Polynomial Sequences Associated with the Moments of Hypergeometric Weights
- The generalized Krawtchouk polynomials and the fifth Painlevé equation
Cited by in corpus (8)
- Discrete semiclassical orthogonal polynomials of class one
- Recurrence coefficients for discrete orthonormal polynomials and the Painlevé equations
- Discrete Orthogonal Polynomials with Hypergeometric Weights and Painlevé VI
- Polynomial Sequences Associated with the Moments of Hypergeometric Weights
- Asymptotic analysis of a family of Sobolev orthogonal polynomials related to the generalized Charlier polynomials
- Discrete multiple orthogonal polynomials on shifted lattices
- Mehler-Heine type formulas for Charlier and Meixner polynomials
- Differential system related to Krawtchouk polynomials: iterated regularisation and Painlevé equation