An eigenvalue problem for the associated Askey-Wilson polynomials
Classical Analysis and ODEs
2020-12-07 v1
Abstract
To derive an eigenvalue problem for the associated Askey-Wilson polynomials, we consider an auxiliary function in two variables which is related to the associated Askey-Wilson polynomials introduced by Ismail and Rahman. The Askey-Wilson operator, applied in each variable separately, maps this function to the ordinary Askey-Wilson polynomials with different sets of parameters. A third Askey-Wilson operator is found with the help of a computer algebra program which links the two, and an eigenvalue problem is stated.
Cite
@article{arxiv.1204.2174,
title = {An eigenvalue problem for the associated Askey-Wilson polynomials},
author = {Andrea Bruder and Christian Krattenthaler and Sergei K. Suslov},
journal= {arXiv preprint arXiv:1204.2174},
year = {2020}
}
Comments
AmS-LaTeX; 15 pages