English

Bootstrapping and Askey-Wilson polynomials

Classical Analysis and ODEs 2014-03-04 v1 Combinatorics

Abstract

The mixed moments for the Askey-Wilson polynomials are found using a bootstrapping method and connection coefficients. A similar bootstrapping idea on generating functions gives a new Askey-Wilson generating function. An important special case of this hierarchy is a polynomial which satisfies a four term recurrence, and its combinatorics is studied.

Keywords

Cite

@article{arxiv.1403.0053,
  title  = {Bootstrapping and Askey-Wilson polynomials},
  author = {Jang Soo Kim and Dennis Stanton},
  journal= {arXiv preprint arXiv:1403.0053},
  year   = {2014}
}

Comments

17 pages, no figures

R2 v1 2026-06-22T03:18:15.131Z