{"title":"广义(k,t)-纳拉亚纳序列","authors":"Roji Bala Singla, Vinod Mishra","doi":"10.22342/jims.30.1.1432.121-138","DOIUrl":null,"url":null,"abstract":"In this paper, we introduces Narayana sequence in two parameters, namely, (k, t)-Narayana sequence, which is generalization of classical Narayana sequence and provide some identities and matrix expressions. Further, we find relations between (k, t)-Narayana numbers and determinants and permanents of some Hessenberg matrices. We study recurrence relations and the sum of the first n terms of this sequence. We obtain some properties from matrices. Additionally, we define (k, t)−Narayana sequence for negative subscripts and derive some relations.","PeriodicalId":42206,"journal":{"name":"Journal of the Indonesian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.3000,"publicationDate":"2024-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Generalised (k, t)-Narayana sequence\",\"authors\":\"Roji Bala Singla, Vinod Mishra\",\"doi\":\"10.22342/jims.30.1.1432.121-138\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we introduces Narayana sequence in two parameters, namely, (k, t)-Narayana sequence, which is generalization of classical Narayana sequence and provide some identities and matrix expressions. Further, we find relations between (k, t)-Narayana numbers and determinants and permanents of some Hessenberg matrices. We study recurrence relations and the sum of the first n terms of this sequence. We obtain some properties from matrices. Additionally, we define (k, t)−Narayana sequence for negative subscripts and derive some relations.\",\"PeriodicalId\":42206,\"journal\":{\"name\":\"Journal of the Indonesian Mathematical Society\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2024-05-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of the Indonesian Mathematical Society\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.22342/jims.30.1.1432.121-138\",\"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":"Journal of the Indonesian Mathematical Society","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22342/jims.30.1.1432.121-138","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
In this paper, we introduces Narayana sequence in two parameters, namely, (k, t)-Narayana sequence, which is generalization of classical Narayana sequence and provide some identities and matrix expressions. Further, we find relations between (k, t)-Narayana numbers and determinants and permanents of some Hessenberg matrices. We study recurrence relations and the sum of the first n terms of this sequence. We obtain some properties from matrices. Additionally, we define (k, t)−Narayana sequence for negative subscripts and derive some relations.