Zeros distribution of the reverse strong Turan expressions of polynomials sequences

被引:1
|
作者
Li Liu, Lily [1 ]
Yan, Xue [1 ]
机构
[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Peoples R China
基金
中国国家自然科学基金;
关键词
Real zeros; Stability; Recurrence relation; x-log-convexity; Stirling numbers; Whitney numbers; Q-LOG-CONVEXITY; WHITNEY NUMBERS; JENSEN POLYNOMIALS; POSITIVITY;
D O I
10.1016/j.aam.2022.102426
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we first show the zeros distribution of the reverse strong Turan expressions of three recurrence polynomials se-quences. Then as applications, we obtain the weak (Hurwitz) stability of the reverse strong Turan expressions of Bell poly-nomials, Dowling polynomials, ordered Bell polynomials, or-dered Dowling polynomials and associated Lah polynomials respectively. On the other hand, the reverse strong Turan ex-pressions of Delannoy polynomials, Morgan-Voyce polynomi-als, many independence polynomials and sextet polynomials have only real zeros respectively. Finally, we present some con-jectures related to the Eulerian polynomials and the Narayana polynomials.(c) 2022 Elsevier Inc. All rights reserved.
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页数:19
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