{"title":"第三类和第四类切比雪夫多项式有限积和的一些恒等式","authors":"J. Kishore, V. Verma, A. Sharma","doi":"10.26713/cma.v14i1.2079","DOIUrl":null,"url":null,"abstract":". In this paper, we will introduce some identities involving sums of the finite products of Chebyshev polynomials of the third and fourth kinds, Fibonacci, and Lucas numbers in terms of the derivatives of Pell, Fibonacci, Jacobi, Gegenbauer, Vieta-Fibonacci, Vieta-Pell, and second-kind Chebyshev polynomials.","PeriodicalId":43490,"journal":{"name":"Communications in Mathematics and Applications","volume":"1 1","pages":""},"PeriodicalIF":0.2000,"publicationDate":"2023-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Some Identities on Sums of Finite Products of Chebyshev Polynomials of the Third and Fourth Kinds\",\"authors\":\"J. Kishore, V. Verma, A. Sharma\",\"doi\":\"10.26713/cma.v14i1.2079\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". In this paper, we will introduce some identities involving sums of the finite products of Chebyshev polynomials of the third and fourth kinds, Fibonacci, and Lucas numbers in terms of the derivatives of Pell, Fibonacci, Jacobi, Gegenbauer, Vieta-Fibonacci, Vieta-Pell, and second-kind Chebyshev polynomials.\",\"PeriodicalId\":43490,\"journal\":{\"name\":\"Communications in Mathematics and Applications\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.2000,\"publicationDate\":\"2023-05-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Communications in Mathematics and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.26713/cma.v14i1.2079\",\"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":"Communications in Mathematics and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.26713/cma.v14i1.2079","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
Some Identities on Sums of Finite Products of Chebyshev Polynomials of the Third and Fourth Kinds
. In this paper, we will introduce some identities involving sums of the finite products of Chebyshev polynomials of the third and fourth kinds, Fibonacci, and Lucas numbers in terms of the derivatives of Pell, Fibonacci, Jacobi, Gegenbauer, Vieta-Fibonacci, Vieta-Pell, and second-kind Chebyshev polynomials.
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