Comparing Two Matrices of Generalized Moments Defined by Continued Fraction Expansions

被引：0

作者：

Barry, Paul ^{[1
]}

机构：

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

来源：

JOURNAL OF INTEGER SEQUENCES | 2014年 / 17卷 / 05期

关键词：

Matrix; Stieltjes continued fraction; Jacobi continued fraction; orthogonal polynomials; production matrix; Riordan array; Hankel transform;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study two matrices N and M defined by the parameters of equivalent S- and J-continued fraction expansions, and compare them by examining the product N-1M. Using examples based on the Catalan numbers, the little Schroder numbers, and powers of q, we indicate that this matrix product is an object worthy of study. In the case of the little Schroder numbers, we find that the matrix N has an interleaved structure based on two Riordan arrays.

引用

页数：17

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