Combinatorial sums and implicit Riordan arrays

被引：13

作者：

Merlini, Donatella ^{[1
]}

Sprugnoli, Renzo ^{[1
]}

Verri, Maria Cecilia ^{[1
]}

机构：

[1] Univ Florence, Dipartimento Sistemi & Informat, Florence, Italy

来源：

DISCRETE MATHEMATICS | 2009年 / 309卷 / 02期

关键词：

Generating functions; Riordan arrays; Lagrange inversion formula; Combinatorial sums inversion; INVERSE RELATIONS;

D O I：

10.1016/j.disc.2007.12.039

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we present the theory of implicit Riordan arrays, that is, Riordan arrays which require the application of the Lagrange Inversion Formula to be dealt with. We show several examples in which our approach gives explicit results, both in finding closed expressions for sums and, especially, in solving classes of combinatorial sum inversions. (C) 2008 Published by Elsevier B.V.

引用

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页码：475 / 486

页数：12

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