{"title":"具有Pell和Lucas多项式的二项式和","authors":"Dongwei Guo, W. Chu","doi":"10.36045/J.BBMS.200525","DOIUrl":null,"url":null,"abstract":"Binomial sums with Pell and Lucas polynomials as weight functions are explicitly evaluated. Their special cases result in several interesting identities concerning Fibonacci and Lucas numbers. Two of them confirm the summation formulae proposed recently by Ohtsuka and Tauraso (2020).","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Binomial Sums with Pell and Lucas Polynomials\",\"authors\":\"Dongwei Guo, W. Chu\",\"doi\":\"10.36045/J.BBMS.200525\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Binomial sums with Pell and Lucas polynomials as weight functions are explicitly evaluated. Their special cases result in several interesting identities concerning Fibonacci and Lucas numbers. Two of them confirm the summation formulae proposed recently by Ohtsuka and Tauraso (2020).\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2021-05-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.36045/J.BBMS.200525\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.36045/J.BBMS.200525","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Binomial sums with Pell and Lucas polynomials as weight functions are explicitly evaluated. Their special cases result in several interesting identities concerning Fibonacci and Lucas numbers. Two of them confirm the summation formulae proposed recently by Ohtsuka and Tauraso (2020).
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