| 一些包含Chebyshev多项式和Stirling数的恒等式 |
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| 引用本文： | 刘国栋,罗辉.一些包含Chebyshev多项式和Stirling数的恒等式[J].纯粹数学与应用数学,2010,26(2):177-182. |
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| 作者姓名： | 刘国栋 罗辉 |
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| 作者单位： | 惠州学院数学系,广东,惠州,516007;惠州学院数学系,广东,惠州,516007 |
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| 摘 要： | 利用初等方法研究Chebyshev多项式的性质,建立了广义第二类Chebyshev多项式的一个显明公式,并得到了一些包含第一类Chebyshev多项式,第一类Stirling数和Lucas数的恒等式.
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| 关 键 词： | 第一类Chebyshev多项式 第二类Chebyshev多项式 第一类Stirling数 Fibonacci数 Lucas数 |
Some identities involving Chebyshev polynomials and Stirling numbers |
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| LIU Guo-dong,LUO Hui.Some identities involving Chebyshev polynomials and Stirling numbers[J].Pure and Applied Mathematics,2010,26(2):177-182. |
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| Authors: | LIU Guo-dong LUO Hui |
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| Institution: | LIU Guo-dong,LUO Hui(Department of Mathematics,Huizhou University,Huizhou 516007,China) |
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| Abstract: | In this paper,we use the elementary methods to study the property of Chebyshev polynomials,and establish an explicit formula for the generalized Chebyshev polynomials of the second kind.Several identities involving Chebyshev polynomials of the first kind,Stirling numbers of the first kind and Lucas numbers are also presented. |
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| Keywords: | Chebyshev polynomials of the first kind Chebyshev polynomials of the second kind Stirling numbers of the first kind Fibonacci numbers Lucas numbers |
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