Orthogonal Polynomials of Askey-Wilson Type

Autor: Ismail, Mourad E. H., Zhang, Ruiming, Zhou, Keru
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