Discrete semiclassical orthogonal polynomials of class one Articles uri icon

publication date

  • June 2014

start page

  • 389

end page

  • 411

issue

  • 2

volume

  • 268

international standard serial number (ISSN)

  • 0030-8730

electronic international standard serial number (EISSN)

  • 1945-5844

abstract

  • 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.

keywords

  • discrete orthogonal polynomials; pearson equation; discrete semiclassical polynomials; laguerre-freud equations; painleve equations; generalized charlier polynomials; recurrence coefficients; meixner polynomials; difference equation; functionals; masses