论文标题
Askey-Wilson类型的正交多项式
Orthogonal Polynomials of Askey-Wilson Type
论文作者
论文摘要
我们研究两个正交多项式的家族。第一个是与Askey-Wilson多项式有关的有限家庭，但正交性在实际线上。这个家族的一个限制案例是一个无限的正交多项式系统，其矩问题是不确定的。我们为无限家族提供了几项正交性措施，并得出了其Plancherel-Rotach渐近性。
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.
