An Identity Involving the Integral of the First-Kind Chebyshev Polynomials

Wang Xiao; Hu Jiayuan

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An Identity Involving the Integral of the First-Kind Chebyshev Polynomials

机译：涉及第一类切比雪夫多项式积分的恒等式

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摘要

We used the algebraic manipulations and the properties of Chebyshev polynomials to obtain an interesting identity involving the power sums of the integral of the first-kind Chebyshev polynomials and solved an open problem proposed by Wenpeng Zhang and Tingting Wang.

机译：我们使用代数操纵和Chebyshev多项式的性质来获得有趣的恒等式，其中涉及第一类Chebyshev多项式的积分的幂和，并解决了由Wenpeng Zhang和Wang Tingting提出的开放问题。

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《Mathematical Problems in Engineering》 |2018年第6期|7186940.1-7186940.5|共5页
作者
Wang Xiao; Hu Jiayuan;
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Northwest Univ Xian, Sch Math, Xian, Shaanxi, Peoples R China;

Northwest Univ Xian, Sch Math, Xian, Shaanxi, Peoples R China;

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正文语种 eng
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1. 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
2. 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
3. Some algorithms for computing Chebyshev normalized first-kind polynomials by roots [J] . V. I. LEBEDEV, S. A. FINOGENOV Russian Journal of Numerical Analysis and Mathematical Modelling . 2005,第4期

机译：根计算切比雪夫归一化多项式的一些算法
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. Numerical Solutions of Duffing Equations Involving Linear Integral with Shifted Chebyshev Polynomials [O] . Ayşe Anapalı, Yalçın ÖZTÜRK, Mustafa GÜLSU 2015

机译：Duffing方程的数值解，涉及线性整体与换档换档多项式

An Identity Involving the Integral of the First-Kind Chebyshev Polynomials

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