English

Terminating basic hypergeometric representations and transformations for the Askey-Wilson polynomials

Classical Analysis and ODEs 2020-10-09 v2

Abstract

In this survey paper, we exhaustively explore the terminating basic hypergeometric representations of the Askey-Wilson polynomials and the corresponding terminating basic hypergeometric transformations that these polynomials satisfy. From the terminating basic hypergeometric representations of these polynomials, and due to symmetry in their free parameters, we are able to exhaustively explore the terminating basic hypergeometric transformation formulae which these polynomials satisfy.

Keywords

Cite

@article{arxiv.2006.14021,
  title  = {Terminating basic hypergeometric representations and transformations for the Askey-Wilson polynomials},
  author = {Howard S. Cohl and Roberto S. Costas-Santos and Linus Ge},
  journal= {arXiv preprint arXiv:2006.14021},
  year   = {2020}
}

Comments

14 pages

R2 v1 2026-06-23T16:36:18.720Z