- PACIFIC JOURNAL OF MATHEMATICS Journal
- June 2014
Digital Object Identifier (DOI)
International Standard Serial Number (ISSN)
Electronic International Standard Serial Number (EISSN)
- We study discrete semiclassical orthogonal polynomials of class s = 1. By considering particular solutions of the Pearson equation, we obtain five canonical families of such polynomials. We also consider limit relations between these and other families of orthogonal polynomials.
- discrete orthogonal polynomials; pearson equation; discrete semiclassical polynomials; laguerre-freud equations; painleve equations; generalized charlier polynomials; recurrence coefficients; meixner polynomials; difference equation; functionals; masses