Some Identities of the Degenerate Higher Order Derangement Polynomials and Numbers

被引：1
|
作者：
Kim, Hye Kyung [1 ]
机构：
[1] Daegu Catholic Univ, Dept Math Educ, Gyongsan 38430, South Korea
来源：
SYMMETRY-BASEL | 2021年 / 13卷 / 02期
基金：
新加坡国家研究基金会;
关键词：
derangement numbers and polynomials; degenerate derangement numbers and polynomials; Lah-Bell numbers and polynomials; the degenerate Sheffer sequence; the degenerate Bernoulli (Euler) polynomials; the degenerate Frobenius-Euler polynomials; the degenerate Daehee polynomials; the degenerate Bell polynomials;
D O I：
10.3390/sym13020176
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
Recently, Kim-Kim (J. Math. Anal. Appl. (2021), Vol. 493(1), 124521) introduced the lambda-Sheffer sequence and the degenerate Sheffer sequence. In addition, Kim et al. (arXiv:2011.08535v1 17 November 2020) studied the degenerate derangement polynomials and numbers, and investigated some properties of those polynomials without using degenerate umbral calculus. In this paper, the y the degenerate derangement polynomials of order s (s is an element of N) and give a combinatorial meaning about higher order derangement numbers. In addition, the author gives some interesting identities related to the degenerate derangement polynomials of order s and special polynomials and numbers by using degenerate Sheffer sequences, and at the same time derive the inversion formulas of these identities.
引用
收藏
页码：1 / 16
页数：16
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