退化多聚伯努利数与多项式的注释

IF 1 4区数学 Q1 MATHEMATICS

Applicable Analysis and Discrete Mathematics Pub Date : 2020-05-15 DOI:10.2298/aadm200510005k

Taekyun Kim, Dae San Kim

{"title":"退化多聚伯努利数与多项式的注释","authors":"Taekyun Kim, Dae San Kim","doi":"10.2298/aadm200510005k","DOIUrl":null,"url":null,"abstract":"In this paper, we consider the degenerate multi-poly-Bernoulli numbers and\n polynomials which are defined by means of the multiple polylogarithms and\n degenerate versions of the multi-poly-Bernoulli numbers and polynomials. We\n investigate some properties for those numbers and polynomials. In addition,\n we give some identities and relations for the degenerate multi-poly-\n Bernoulli numbers and polynomials.","PeriodicalId":51232,"journal":{"name":"Applicable Analysis and Discrete Mathematics","volume":"1 1","pages":""},"PeriodicalIF":1.0000,"publicationDate":"2020-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":"{\"title\":\"A note on degenerate multi-poly-Bernoulli numbers and polynomials\",\"authors\":\"Taekyun Kim, Dae San Kim\",\"doi\":\"10.2298/aadm200510005k\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we consider the degenerate multi-poly-Bernoulli numbers and\\n polynomials which are defined by means of the multiple polylogarithms and\\n degenerate versions of the multi-poly-Bernoulli numbers and polynomials. We\\n investigate some properties for those numbers and polynomials. In addition,\\n we give some identities and relations for the degenerate multi-poly-\\n Bernoulli numbers and polynomials.\",\"PeriodicalId\":51232,\"journal\":{\"name\":\"Applicable Analysis and Discrete Mathematics\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2020-05-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Applicable Analysis and Discrete Mathematics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.2298/aadm200510005k\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applicable Analysis and Discrete Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.2298/aadm200510005k","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 7

摘要

在本文中，我们考虑了退化的多聚Bernoulli数和多项式，它们是通过多聚对数和多聚Bern努lli数与多项式的退化形式定义的。我们研究了这些数和多项式的一些性质。此外，我们还给出了退化的多聚伯努利数和多项式的一些恒等式和关系式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

A note on degenerate multi-poly-Bernoulli numbers and polynomials

In this paper, we consider the degenerate multi-poly-Bernoulli numbers and polynomials which are defined by means of the multiple polylogarithms and degenerate versions of the multi-poly-Bernoulli numbers and polynomials. We investigate some properties for those numbers and polynomials. In addition, we give some identities and relations for the degenerate multi-poly- Bernoulli numbers and polynomials.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Applicable Analysis and Discrete Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.40

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： Applicable Analysis and Discrete Mathematics is indexed, abstracted and cover-to cover reviewed in: Web of Science, Current Contents/Physical, Chemical & Earth Sciences (CC/PC&ES), Mathematical Reviews/MathSciNet, Zentralblatt für Mathematik, Referativny Zhurnal-VINITI. It is included Citation Index-Expanded (SCIE), ISI Alerting Service and in Digital Mathematical Registry of American Mathematical Society (http://www.ams.org/dmr/).