Total positivity of Riordan arrays

被引：42
|
作者：
Chen, Xi [1 ]
Liang, Huyile [1 ]
Wang, Yi [1 ]
机构：
[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
来源：
EUROPEAN JOURNAL OF COMBINATORICS | 2015年 / 46卷
基金：
中国国家自然科学基金; 高等学校博士学科点专项科研基金;
关键词：
CATALAN NUMBERS; COMBINATORICS;
D O I：
10.1016/j.ejc.2014.11.009
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We present sufficient conditions for the total positivity of Riordan arrays. As applications we show that many well-known combinatorial triangles are totally positive and many famous combinatorial numbers are log-convex in a unified approach. (C) 2014 Elsevier Ltd. All rights reserved.
引用
收藏
页码：68 / 74
页数：7
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