A numerical investigation on the structure of the zeros of the degenerate Euler-tangent mixed-type polynomials

被引:8
作者
Ryoo, Cheon Seoung [1 ]
机构
[1] Hannam Univ, Dept Math, Daejeon 306791, South Korea
来源
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2017年 / 10卷 / 08期
基金
新加坡国家研究基金会;
关键词
Degenerate Euler polynomials; degenerate tangent polynomials; degenerate Euler-tangent mixed-type polynomials; generalized falling factorials; generalized factorial alternating sums; Stirling numbers of the first kind; BERNOULLI;
D O I
10.22436/jnsa.010.08.39
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we obtain a general symmetric identity involving the degenerate Euler-tangent mixed-type polynomials and sums of generalized falling factorials. We use this identity to describe some combinatorial relations between these polynomials and generalized factorial alternating sums. Finally, we observe an interesting phenomenon of "scattering" of the zeros of degenerate Euler-tangent mixed-type polynomials. (C) 2017 All rights reserved.
引用
收藏
页码:4474 / 4484
页数:11
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