Construction of partially degenerate Bell–Bernoulli polynomials of the first kind and their certain properties

W. Khan, M. Kamarujjama, Daud
{"title":"Construction of partially degenerate Bell–Bernoulli polynomials of the first kind and their certain properties","authors":"W. Khan, M. Kamarujjama, Daud","doi":"10.1515/anly-2021-1028","DOIUrl":null,"url":null,"abstract":"Abstract Various applications of degenerate polynomials in different areas call for the thoughtful study and research, and many extensions and variants can be found in the literature. In this paper, we introduce partially degenerate Bell–Bernoulli polynomials of the first kind and investigate their properties and identities. Furthermore, we introduce a generalized form of partially degenerate Bell–Bernoulli polynomials of the first kind and derive some interesting properties and identities. The results obtained are of general character and can be reduced to yield formulae and identities for relatively simple polynomials and numbers.","PeriodicalId":82310,"journal":{"name":"Philosophic research and analysis","volume":"37 1","pages":"171 - 184"},"PeriodicalIF":0.0000,"publicationDate":"2022-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Philosophic research and analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/anly-2021-1028","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2

Abstract

Abstract Various applications of degenerate polynomials in different areas call for the thoughtful study and research, and many extensions and variants can be found in the literature. In this paper, we introduce partially degenerate Bell–Bernoulli polynomials of the first kind and investigate their properties and identities. Furthermore, we introduce a generalized form of partially degenerate Bell–Bernoulli polynomials of the first kind and derive some interesting properties and identities. The results obtained are of general character and can be reduced to yield formulae and identities for relatively simple polynomials and numbers.
第一类部分退化Bell-Bernoulli多项式的构造及其若干性质
摘要退化多项式在不同领域的各种应用需要深入的研究,在文献中可以找到许多扩展和变体。本文引入了第一类部分退化的贝尔-伯努利多项式,研究了它们的性质和恒等式。进一步,我们引入了第一类部分退化贝尔-伯努利多项式的一种广义形式,并推导了一些有趣的性质和恒等式。所得结果具有一般性,可简化为相对简单的多项式和数的生成公式和恒等式。
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 求助全文
来源期刊
自引率
0.00%
发文量
0
×
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
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
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 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:604180095
Book学术官方微信