Context-Free Grammars for Several Triangular Arrays

被引：0
|
作者：
Zhou, Roberta Rui [1 ]
Yeh, Jean [2 ]
Ren, Fuquan [3 ]
机构：
[1] Northeastern Univ Qinhuangdao, Sch Math & Stat, Qinhuangdao 066004, Hebei, Peoples R China
[2] Natl Kaohsiung Normal Univ, Dept Math, Kaohsiung 000800, Taiwan
[3] Yanshan Univ, Sch Sci, Qinhuangdao 066004, Hebei, Peoples R China
来源：
AXIOMS | 2022年 / 11卷 / 06期
基金：
中国国家自然科学基金;
关键词：
recurrence relations; grammars; real zeros; Bell triangular array; GENERATING-FUNCTIONS; LOG-CONCAVITY; PERMUTATIONS; NUMBER;
D O I：
10.3390/axioms11060297
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present a unified grammatical interpretation of the numbers that satisfy a kind of four-term recurrence relation, including the Bell triangle, the coefficients of modified Hermite polynomials, and the Bessel polynomials. Additionally, as an application, a criterion for real zeros of row-generating polynomials is also presented.
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页数：10
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