English

Continuous $-1$ Hypergeometric Orthogonal Polynomials

Classical Analysis and ODEs 2022-10-27 v2

Abstract

The study of 1-1 orthogonal polynomials viewed as q=1q =-1 limits of the qq-orthogonal polynomials is pursued. This paper present the continuous polynomials part of the 1-1 analog of the qq-Askey scheme. A compendium of the properties of all the continuous 1-1 hypergeometric polynomials and their connections is provided.

Keywords

Cite

@article{arxiv.2209.10727,
  title  = {Continuous $-1$ Hypergeometric Orthogonal Polynomials},
  author = {Jonathan Pelletier and Luc Vinet and Alexei Zhedanov},
  journal= {arXiv preprint arXiv:2209.10727},
  year   = {2022}
}

Comments

47 pages

R2 v1 2026-06-28T01:51:52.611Z