An eigenvalue problem for the associated Askey-Wilson polynomials

Details An eigenvalue problem for the associated Askey-Wilson polynomials An eigenvalue problem for the associated Askey-Wilson polynomials

2012-04-10

arxiv.org/abs/1204.2174v1

Mathematics

Classical Analysis and ODEs

AmS-LaTeX; 15 pages

Scientific paper

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.

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