Classical and Semi-Classical Orthogonal Polynomials Defined by Riordan Arrays, and Their Moment Sequences

被引：0

作者：

Barry, Paul ^{[1
]}

Mwafise, Arnauld Mesinga ^{[1
]}

机构：

[1] Waterford Inst Technol, Sch Sci, Waterford, Ireland

来源：

JOURNAL OF INTEGER SEQUENCES | 2018年 / 21卷 / 01期

关键词：

Riordan array; classical orthogonal polynomial; Chebyshev polynomial; Bessel polynomial; moment sequence;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the orthogonal polynomials of classical and semi-classical types that can be defined by ordinary and exponential Riordan arrays. We identify their moment sequences, giving their integral representations and Hankelt ransforms. For a special class of classical orthogonal polynomials defined by Riordan arrays, we identify a complementary family of orthogonal polynomials defined by reversion of moment sequences. Special product sequences arise and their generating functions are calculated.

引用

页数：40