Orthogonality relations for Al-Salam-Carlitz polynomials of type II

被引：2
|
作者：
Groenevelt, Wolter [1 ]
机构：
[1] Delft Univ Technol, DIAM, NL-2600 GA Delft, Netherlands
来源：
JOURNAL OF APPROXIMATION THEORY | 2015年 / 195卷
关键词：
Al-Salam-Carlitz II polynomials; Indeterminate moment problem; Slater's q-beta integral;
D O I：
10.1016/j.jat.2014.07.006
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
By use of a special case of Slater's q-beta integral evaluation formula, we determine orthogonality relations for the Al-Salam-Carlitz polynomials of type II with respect to a family of measures supported on a discrete subset of R. From spectral analysis of the corresponding second-order q-difference operator we obtain an infinite set of functions that complement the Al-Salam-Carlitz II polynomials to an orthogonal basis of the associated L-2-space. (C) 2014 Elsevier Inc. All rights reserved.
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页码：89 / 108
页数：20
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