Moments on quadratic binomial products

被引：6

作者：

Chu, Wenchang ^{[1
]}

机构：

[1] Univ Salento, Dipartimento Matemat & Fis Ennio De Giorgi, Lecce Arnesano POB 193, I-73100 Lecce, Italy

来源：

JOURNAL OF NUMBER THEORY | 2017年 / 178卷

关键词：

Binomial coefficient; Catalan triangle; Chu-Vandermonde convolution; Telescoping method; Partial binomial sum; CATALAN TRIANGLE; IDENTITIES; COEFFICIENTS; SQUARES;

D O I：

10.1016/j.jnt.2017.02.005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a general transformation theorem that expresses the moments on quadratic products of binomial coefficients as linear sums of their four initial values. Sixteen summation formulae are presented explicitly as examples. They contain, as special cases, the previous results due to Chen-Chu (2009) and Miana et al. (2007, 2008, 2010). (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：19 / 30

页数：12

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