Orthogonal Polynomials of Askey-Wilson Type
Autor: | Ismail, Mourad E. H., Zhang, Ruiming, Zhou, Keru |
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Rok vydání: | 2022 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | We study two families of orthogonal polynomials. The first is a finite family related to the Askey-Wilson polynomials but the orthogonality is on the real line. A limiting case of this family is an infinite system of orthogonal polynomials whose moment problem is indeterminate. We provide several orthogonality measures for the infinite family and derive their Plancherel-Rotach asymptotics. Comment: 26 pages |
Databáze: | arXiv |
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