English

Zero distribution of polynomials satisfying a differential-difference equation

Classical Analysis and ODEs 2013-12-04 v1

Abstract

In this paper we investigate the asymptotic distribution of the zeros of polynomials Pn(x)P_{n}(x) satisfying a first order differential-difference equation. We give several examples of orthogonal and non-orthogonal families.

Keywords

Cite

@article{arxiv.1312.0698,
  title  = {Zero distribution of polynomials satisfying a differential-difference equation},
  author = {Diego Dominici and Walter Van Assche},
  journal= {arXiv preprint arXiv:1312.0698},
  year   = {2013}
}

Comments

26 pages, 2 figures

R2 v1 2026-06-22T02:19:29.619Z