Immanant positivity for Catalan-Stieltjes matrices

被引：1
|
作者：
Li, Ethan Y. H. [1 ]
Li, Grace M. X. [1 ]
Yang, Arthur L. B. [1 ]
Zhang, Candice X. T. [1 ]
机构：
[1] Nankai Univ, LPMC, Ctr Combinator, Tianjin 300071, Peoples R China
来源：
FRONTIERS OF MATHEMATICS IN CHINA | 2022年 / 17卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Immanant; character; Catalan-Stieltjes matrices; Hankel matrices; planar network; NUMBERS; IMMANENTS;
D O I：
10.1007/s11464-021-0977-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give some sufficient conditions for the nonnegativity of immanants of square submatrices of Catalan-Stieltjes matrices and their corresponding Hankel matrices. To obtain these sufficient conditions, we construct new planar networks with a recursive nature for Catalan-Stieltjes matrices. As applications, we provide a unified way to produce inequalities for many combinatorial polynomials, such as the Eulerian polynomials, Schroder polynomials, and Narayana polynomials.
引用
收藏
页码：887 / 903
页数：17
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