Some Identities of Fully Degenerate Dowling Polynomials and Numbers

IF 1.3 4区 数学 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Discrete Dynamics in Nature and Society Pub Date : 2023-11-14 DOI:10.1155/2023/5460608
Lingling Luo, Yuankui Ma, Wencong Liu, Taekyun Kim
{"title":"Some Identities of Fully Degenerate Dowling Polynomials and Numbers","authors":"Lingling Luo, Yuankui Ma, Wencong Liu, Taekyun Kim","doi":"10.1155/2023/5460608","DOIUrl":null,"url":null,"abstract":"Recently, Kim-Kim introduced the degenerate Whitney numbers of the first and second kind involving the degenerate Dowling polynomials and numbers. In this paper, we introduce the fully degenerate Dowling polynomials and the fully degenerate Bell polynomials and derive some identities involving these polynomials. We also obtain the generating functions, expressions, and recurrence relations for the fully degenerate Dowling polynomials and the fully degenerate Bell polynomials and other special polynomials and numbers.","PeriodicalId":55177,"journal":{"name":"Discrete Dynamics in Nature and Society","volume":"39 1","pages":"0"},"PeriodicalIF":1.3000,"publicationDate":"2023-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Discrete Dynamics in Nature and Society","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1155/2023/5460608","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
引用次数: 0

Abstract

Recently, Kim-Kim introduced the degenerate Whitney numbers of the first and second kind involving the degenerate Dowling polynomials and numbers. In this paper, we introduce the fully degenerate Dowling polynomials and the fully degenerate Bell polynomials and derive some identities involving these polynomials. We also obtain the generating functions, expressions, and recurrence relations for the fully degenerate Dowling polynomials and the fully degenerate Bell polynomials and other special polynomials and numbers.
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
完全退化道林多项式与数的一些恒等式
最近,Kim-Kim引入了涉及简并Dowling多项式和数的第一类和第二类简并Whitney数。本文介绍了完全简并道林多项式和完全简并贝尔多项式,并推导了它们的一些恒等式。得到了完全简并Dowling多项式、完全简并Bell多项式及其他特殊多项式和数的生成函数、表达式和递归关系。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 去求助
来源期刊
Discrete Dynamics in Nature and Society
Discrete Dynamics in Nature and Society 综合性期刊-数学跨学科应用
CiteScore
3.00
自引率
0.00%
发文量
598
审稿时长
3 months
期刊介绍: The main objective of Discrete Dynamics in Nature and Society is to foster links between basic and applied research relating to discrete dynamics of complex systems encountered in the natural and social sciences. The journal intends to stimulate publications directed to the analyses of computer generated solutions and chaotic in particular, correctness of numerical procedures, chaos synchronization and control, discrete optimization methods among other related topics. The journal provides a channel of communication between scientists and practitioners working in the field of complex systems analysis and will stimulate the development and use of discrete dynamical approach.
期刊最新文献
Early Warning Simulation of Urban Vulnerability in Coal-Resource-Based Cities Based on System Dynamics Enhancing Geopolymer Mix Optimization: Integration of the Plackett–Burman Method and Response Surface Methodology for Sustainable Construction Materials Relationship between the Significant Solutions of Static Traffic Assignment Problems for Mixed Traffic Flow of Connected and Automated Vehicles and Human-Driven Vehicles Recycling Mode Choice in a Textile and Apparel Closed-Loop Supply Chain considering Blockchain Analysis of the Dynamical Properties of Discrete Predator-Prey Systems with Fear Effects and Refuges
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1