关于调和数和二项式系数的一些组合恒等式

IF 1 Q1 MATHEMATICS

Discrete Mathematics Letters Pub Date : 2021-10-25 DOI:10.47443/dml.2021.0090

Dongwei Guo

{"title":"关于调和数和二项式系数的一些组合恒等式","authors":"Dongwei Guo","doi":"10.47443/dml.2021.0090","DOIUrl":null,"url":null,"abstract":"School of Mathematics and Statistics, Zhoukou Normal University, Henan, China (Received: 6 September 2021. Received in revised form: 8 October 2021. Accepted: 21 October 2021. Published online: 25 October 2021.) c © 2021 the author. This is an open access article under the CC BY (International 4.0) license (www.creativecommons.org/licenses/by/4.0/). Abstract An elementary proof for a binomial identity of Batir [Integers 20 (2020) #A25] is presented and several combinatorial identities concerning harmonic numbers and binomial coefficients are derived.","PeriodicalId":36023,"journal":{"name":"Discrete Mathematics Letters","volume":" ","pages":""},"PeriodicalIF":1.0000,"publicationDate":"2021-10-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Some Combinatorial Identities Concerning Harmonic Numbers and Binomial Coefficients\",\"authors\":\"Dongwei Guo\",\"doi\":\"10.47443/dml.2021.0090\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"School of Mathematics and Statistics, Zhoukou Normal University, Henan, China (Received: 6 September 2021. Received in revised form: 8 October 2021. Accepted: 21 October 2021. Published online: 25 October 2021.) c © 2021 the author. This is an open access article under the CC BY (International 4.0) license (www.creativecommons.org/licenses/by/4.0/). Abstract An elementary proof for a binomial identity of Batir [Integers 20 (2020) #A25] is presented and several combinatorial identities concerning harmonic numbers and binomial coefficients are derived.\",\"PeriodicalId\":36023,\"journal\":{\"name\":\"Discrete Mathematics Letters\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2021-10-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Discrete Mathematics Letters\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.47443/dml.2021.0090\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Discrete Mathematics Letters","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.47443/dml.2021.0090","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 2

摘要

周口师范大学数学与统计学院，河南（接收日期：2021年9月6日）。收到日期：2021年10月8日。接受日期：2021年10月21日。在线发布：2021年10月25日。）c©2021作者。这是一篇基于CC BY（International 4.0）许可证（www.creativommons.org/licenses/BY/4.0/）的开放获取文章。摘要给出了Batir[Integers 20（2020）#A25]的二项式恒等式的初等证明，并导出了几个关于调和数和二项式系数的组合恒等式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Some Combinatorial Identities Concerning Harmonic Numbers and Binomial Coefficients

School of Mathematics and Statistics, Zhoukou Normal University, Henan, China (Received: 6 September 2021. Received in revised form: 8 October 2021. Accepted: 21 October 2021. Published online: 25 October 2021.) c © 2021 the author. This is an open access article under the CC BY (International 4.0) license (www.creativecommons.org/licenses/by/4.0/). Abstract An elementary proof for a binomial identity of Batir [Integers 20 (2020) #A25] is presented and several combinatorial identities concerning harmonic numbers and binomial coefficients are derived.

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

Discrete Mathematics Letters Mathematics-Discrete Mathematics and Combinatorics

CiteScore

1.50

自引率

12.50%

发文量

审稿时长

12 weeks