{"title":"论 k 卢卡斯序列的卷积","authors":"Sergio Falcon","doi":"10.9734/jamcs/2024/v39i31877","DOIUrl":null,"url":null,"abstract":"In this paper, we study the iterated convolution of the k-Lucas sequences in a form similar to the iterated convolution of the k-Fibonacci sequences [1]. \nA particular case is for the self-convolution of these sequences. Moreover, the generating functions of all these convolved sequences, we find the recurrence relation between the terms of the resulting sequences.","PeriodicalId":503149,"journal":{"name":"Journal of Advances in Mathematics and Computer Science","volume":"11 9","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the Convolution of the k-Lucas Sequences\",\"authors\":\"Sergio Falcon\",\"doi\":\"10.9734/jamcs/2024/v39i31877\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we study the iterated convolution of the k-Lucas sequences in a form similar to the iterated convolution of the k-Fibonacci sequences [1]. \\nA particular case is for the self-convolution of these sequences. Moreover, the generating functions of all these convolved sequences, we find the recurrence relation between the terms of the resulting sequences.\",\"PeriodicalId\":503149,\"journal\":{\"name\":\"Journal of Advances in Mathematics and Computer Science\",\"volume\":\"11 9\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-03-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Advances in Mathematics and Computer Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.9734/jamcs/2024/v39i31877\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Advances in Mathematics and Computer Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.9734/jamcs/2024/v39i31877","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In this paper, we study the iterated convolution of the k-Lucas sequences in a form similar to the iterated convolution of the k-Fibonacci sequences [1].
A particular case is for the self-convolution of these sequences. Moreover, the generating functions of all these convolved sequences, we find the recurrence relation between the terms of the resulting sequences.
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