{"title":"用欧拉变换研究广义调和数和","authors":"Neşe Ömür, Sibel Koparal, Laid Elkhiri","doi":"10.7546/nntdm.2023.29.4.695-704","DOIUrl":null,"url":null,"abstract":"In this paper, we define the generalized hyperharmonic numbers of order r, H_{n}^{r}\\left( \\sigma \\right) and get some identities involving these numbers by using Euler’s transform.","PeriodicalId":44060,"journal":{"name":"Notes on Number Theory and Discrete Mathematics","volume":"51 4","pages":"0"},"PeriodicalIF":0.4000,"publicationDate":"2023-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On sums with generalized harmonic numbers via Euler’s transform\",\"authors\":\"Neşe Ömür, Sibel Koparal, Laid Elkhiri\",\"doi\":\"10.7546/nntdm.2023.29.4.695-704\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we define the generalized hyperharmonic numbers of order r, H_{n}^{r}\\\\left( \\\\sigma \\\\right) and get some identities involving these numbers by using Euler’s transform.\",\"PeriodicalId\":44060,\"journal\":{\"name\":\"Notes on Number Theory and Discrete Mathematics\",\"volume\":\"51 4\",\"pages\":\"0\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2023-11-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Notes on Number Theory and Discrete Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.7546/nntdm.2023.29.4.695-704\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Notes on Number Theory and Discrete Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7546/nntdm.2023.29.4.695-704","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
On sums with generalized harmonic numbers via Euler’s transform
In this paper, we define the generalized hyperharmonic numbers of order r, H_{n}^{r}\left( \sigma \right) and get some identities involving these numbers by using Euler’s transform.
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