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math.CA2012★ 1 cited
Orthogonal Basic Hypergeometric Laurent Polynomials
Mourad E. H. Ismail, Dennis Stanton
The Askey-Wilson polynomials are orthogonal polynomials in , which are given as a terminating basic hypergeometric series. The non-symmetric Askey-Wilson polyno…
math.CA2003
Jacobi Polynomials from Compatibility Conditions
Yang Chen, Mourad Ismail
We revisit the ladder operators for orthogonal polynomials and re-interpret two supplementary conditions as compatibility conditions of two linear over-determined systems; one invo…