Hamburger Moment Sequences in Combinatorics

被引：0
|
作者：
Huyile LIANG [1 ]
Yi WANG [1 ]
Sainan ZHENG [1 ]
机构：
[1] School of Mathematical Sciences, Dalian University of Technology
来源：
Acta Mathematica Sinica,English Series | 2018年 / 07期
基金：
中国国家自然科学基金;
关键词：
Hamburger moment sequence; Stieltjes moment sequence; generalized Motzkin number; Hankel matrix; total positivity; infinite convexity;
D O I：
暂无
中图分类号：
O157 [组合数学（组合学）];
学科分类号：
070104 ;
摘要：
We show that many well-known counting coefficients in combinatorics are Hamburger moment sequences in certain unified approaches and that Hamburger moment sequences are infinitely convex. We introduce the concept of the q-Hamburger moment sequence of polynomials and present some examples of such sequences of polynomials. We also suggest some problems and conjectures.
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页码：1101 / 1109
页数：9
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