English

On the Krall-type Askey-Wilson Polynomials

Classical Analysis and ODEs 2014-02-06 v2

Abstract

In this paper the general Krall-type Askey-Wilson polynomials are introduced. These polynomials are obtained from the Askey-Wilson polynomials via the addition of two mass points to the weight function of them at the points ±1\pm1. Several properties of such new family are considered, in particular the three-term recurrence relation and the representation as basic hypergeometric series.

Keywords

Cite

@article{arxiv.1112.6019,
  title  = {On the Krall-type Askey-Wilson Polynomials},
  author = {R. Alvarez-Nodarse and R. Sevinik-Adiguzel},
  journal= {arXiv preprint arXiv:1112.6019},
  year   = {2014}
}
R2 v1 2026-06-21T19:57:27.262Z