Riordan Arrays, Orthogonal Polynomials as Moments, and Hankel Transforms

被引：0
|
作者：
Barry, Paul [1 ]
机构：
[1] Sch Sci, Waterford Inst Technol, Waterford, Ireland
来源：
JOURNAL OF INTEGER SEQUENCES | 2011年 / 14卷 / 02期
关键词：
Legendre polynomials; Hermite polynomials; integer sequence; orthogonal polynomials; moments; Riordan array; Hankel determinant; Hankel transform;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Taking the examples of Legendre and Hermite orthogonal polynomials, we show how to interpret the fact that these orthogonal polynomials are moments of other orthogonal polynomials in terms of their associated Riordan arrays. We use these means to calculate the Hankel transforms of the associated polynomial sequences
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页数：37
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