Some Identities Involving Chebyshev Polynomials

Li Xiaoxue

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Some Identities Involving Chebyshev Polynomials

机译：涉及切比雪夫多项式的一些恒等式

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The main purpose of this paper is using the combinatorial method and algebraic manipulations to study some sums of powers of Chebyshev polynomials and give several interesting identities. As some applications of these results, we obtained several divisibility properties involving Chebyshev polynomials.

机译：本文的主要目的是使用组合方法和代数运算来研究切比雪夫多项式的幂和，并给出一些有趣的恒等式。作为这些结果的一些应用，我们获得了涉及切比雪夫多项式的几个可除性。

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来源
《Mathematical Problems in Engineering》 |2015年第6期|950695.1-950695.5|共5页
作者
Li Xiaoxue;
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NW Univ Xian, Sch Math, Xian 710127, Shaanxi, Peoples R China.;

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1. SOME IDENTITIES FOR BERNOULLI POLYNOMIALS INVOLVING CHEBYSHEV POLYNOMIALS [J] . DAE SAN KIM, TAEKYUN KIM, SANG-HUN LEE Journal of computational analysis and applications . 2014,第1期

机译：涉及切比雪夫多项式的伯努利多项式的某些身份
2. An Identity Involving the Integral of the First-Kind Chebyshev Polynomials [J] . Xiao Wang, Jiayuan Hu Mathematical Problems in Engineering: Theory, Methods and Applications . 2018,第2期

机译：涉及第一类切比雪夫多项式积分的恒等式
3. A New Identity Involving the Chebyshev Polynomials [J] . Yixue Zhang, Zhuoyu Chen Mathematics . 2018,第11期

机译：涉及切比雪夫多项式的新恒等式
4. An Identity Authentication System Based on Chebyshev Polynomials [C] . Wang Dahu, Hu Zhiguo, Tong Zaojing, Information Science and Engineering (ICISE), 2009 . 2009

机译：基于Chebyshev多项式的身份认证系统。
5. Zero Distribution of Binomial Combinations of Chebyshev Polynomials of the Second Kind [D] . Al Hamdani, Summer F. 2021

机译：第二种芝双思河豚多项式的二项组合的零分布
6. Sums of finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials [O] . Taekyun Kim, Dae San Kim, Dmitry V. Dolgy, -1

机译：第二类Chebyshev多项式和Fibonacci多项式的有限积的和
7. A New Identity Involving the Chebyshev Polynomials [O] . Yixue Zhang, Zhuoyu Chen 2018

机译：涉及Chebyshev多项式的新身份

Some Identities Involving Chebyshev Polynomials

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