English

Exceptional Jacobi polynomials

Classical Analysis and ODEs 2018-12-24 v2

Abstract

In this paper we present a systematic way to describe exceptional Jacobi polynomials via two partitions. We give the construction of these polynomials and restate the known aspects of these polynomials in terms of their partitions. The aim is to show that the use of partitions is an elegant way to label these polynomials. Moreover, we prove asymptotic results according to the regular and exceptional zeros of these polynomials.

Keywords

Cite

@article{arxiv.1804.01323,
  title  = {Exceptional Jacobi polynomials},
  author = {Niels Bonneux},
  journal= {arXiv preprint arXiv:1804.01323},
  year   = {2018}
}

Comments

40 pages, 1 figure

R2 v1 2026-06-23T01:13:32.422Z