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三对角行列式与Chebyshev多项式 被引量:4

On the Triangular Determinants and Chebyshev Polynomials
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摘要 给出了三对角行列式的几种算法,利用三对角行列式证明了两类Chebyshev多项式的几种显式. We discuss the method for computing the triangular determinants. Using triangular determinants, we give some explicit formulas for the Chebyshev polynomials of the first kind and the Chebyshev polynomials of the second kind.
作者 杨胜良
出处 《大学数学》 北大核心 2006年第6期125-129,共5页 College Mathematics
关键词 三对角行列式 第一类CHEBYSHEV多项式 第二类CHEBYSHEV多项式 Girard-Waring幂和公式 triangular determinant Chebyshev polynomial of the first kind Chebyshev polynomial of the second kind Girard-Waring power sum formula
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参考文献7

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共引文献15

同被引文献17

  • 1周照民.利用对称性和方程组解行列式一例[J].兰州石化职业技术学院学报,2001,1(1). 被引量:1
  • 2Yang Sheng-liang. On the LU factroization of the Vandermonde matrix[J]. Discrete Applied mathematics, 2005, 146(1) : 102-- 104.
  • 3Doust I, Hirschhorn M and Ho J. Trigonomertric identities, linear algebra, and computer algebra[J].The American Mathematical Monthly, 2005, 112(2): 155--164.
  • 4Rimas J. On computing of arbitrary positive integer power for one type of odd order tridiagonal matrices with zero row-I[J]. Applied Mathematics and Computation, 2005, 164(1): 149--154.
  • 5Andrews G, Askey R, Roy R. Special functions[M]. New York: Cambridge University Press, 2000.
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  • 7YANG Sheng-liang. On the LU factroization of the the Vandermonde matrix[J]. Discrete Applied mathematics, 2005, 146(1): 102-104.
  • 8Doust I, Hirschhorn M, and Ho J. Trigonomertric identities, linear algebra, and computer algebra[J]. The American Mathematical Monthly, 2005, 112(2): 155-164.
  • 9Rimas J. On computing of arbitrary positive integer power for one type of odd order tridiagonal matrices with zero row[J]. Applied Mathematics and Computation, 2005, 164(1): 149-154.
  • 10Andrews G, Askey R, Roy R. Special Functions[M]. Cambridge University Press, 2000.

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