Complementary Riordan arrays

被引：23

作者：

Luzon, Ana ^{[1
]}

Merlini, Donatella ^{[2
]}

Moron, Manuel A. ^{[3
]}

Sprugnoli, Renzo ^{[2
]}

机构：

[1] Univ Politecn Madrid, E-28040 Madrid, Spain

[2] Univ Florence, I-50121 Florence, Italy

[3] Univ Complutense Madrid, E-28040 Madrid, Spain

来源：

DISCRETE APPLIED MATHEMATICS | 2014年 / 172卷

关键词：

Riordan arrays; Riordan subgroups; Recursive matrices; MATRICES;

D O I：

10.1016/j.dam.2014.03.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Recently, the concept of the complementary array of a Riordan array (or recursive matrix) has been introduced. Here we generalize the concept and distinguish between dual and complementary arrays. We show a number of properties of these arrays, how they are computed and their relation with inversion. Finally, we use them to Find explicit formulas for the elements of many recursive matrices. (C) 2014 Elsevier B.V. All rights reserved.

引用

页码：75 / 87

页数：13

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