文章基本信息

标题：Some new identities of Chebyshev polynomials and their applications
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作者：Wang Siyi
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2015
卷号：2015
期号：1
页码：355
DOI：10.1186/s13662-015-0690-5
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper, we use the properties of Chebyshev polynomials, elementary methods, and combinational techniques to study the computational problem of one kind of convolution sums involving second kind Chebyshev polynomials, and we give an exact computational method, which expresses the sums as second kind Chebyshev polynomials. As some applications of our results, we also obtain several new identities and congruences involving the second kind Chebyshev polynomials, Fibonacci numbers, and Lucas numbers.
关键词：second kind Chebyshev polynomials ; Fibonacci number ; Lucas number ; identity