English

Linear functionals and $\Delta$- coherent pairs of the second kind

Classical Analysis and ODEs 2023-02-06 v1

Abstract

We classify all the \emph{Δ\Delta-}coherent pairs of measures of the second kind on the real line. We obtain 55 cases, corresponding to all the families of discrete semiclassical orthogonal polynomials of class s1.s\leq1.

Keywords

Cite

@article{arxiv.2302.01899,
  title  = {Linear functionals and $\Delta$- coherent pairs of the second kind},
  author = {Diego Dominici and Francisco Marcellán},
  journal= {arXiv preprint arXiv:2302.01899},
  year   = {2023}
}

Comments

24 pages

R2 v1 2026-06-28T08:31:35.682Z