REDUCED MATRICES AND Q-LOG-CONCAVITY PROPERTIES OF Q-STIRLING NUMBERS

被引：63

作者：

LEROUX, P

机构：

来源：

JOURNAL OF COMBINATORIAL THEORY SERIES A | 1990年 / 54卷 / 01期

基金：

加拿大自然科学与工程研究理事会; 美国国家科学基金会;

关键词：

D O I：

10.1016/0097-3165(90)90006-I

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the q-log-concavity of the q-Stirling numbers of the second kind, which was recently conjectured by Lynne Butler, by suitably extending her injective proof of the analogous property of the q-binomial coefficients. For this we introduce new combinatorial interpretations of Stirling numbers of both kinds in terms of "0-1 tableaux" inspired from a row-reduced echelon matrix representation of restricted growth functions. Other related results, methods, counterexamples, and conjectures are discussed. © 1990.

引用

页码：64 / 84

页数：21

共 21 条

[1]

BUTLER LM, 1987, P AM MATH SOC, V101, P771

[2]

BUTLER LM, 1990, J COMB THEORY A, V54, P53

[3] On Abelian fields [J].