| 关于一类非零整系数互反多项式的Chebyshev变换 |
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| 引用本文： | 王念良,孔亮.关于一类非零整系数互反多项式的Chebyshev变换[J].海南大学学报(自然科学版),2011,29(1):1-3. |
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| 作者姓名： | 王念良 孔亮 |
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| 作者单位： | 商洛学院,数学与计算科学系,陕西,商洛,726000 |
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| 基金项目： | 陕西省教育厅科研计划项目支助，商洛学院科研基金 |
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| 摘 要： | 利用第1类、第2类Chebyshev多项式的性质,研究了形如P(n,n)(z)=z2n+1,Q(n,n)(z)=z2n+z2n-2+…+z2+1的非零整系数互反多项式的Chebyshev变换,给出了多项式P(mn,mn)(z),Q(mn-1,mn-1)(z)的Chebyshev变换公式及一个推论.
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| 关 键 词： | 第1类Chebyshev多项式 第2类Chebyshev多项式 Chebyshev变换 非零实系数互反多项式 |
A Kind of Chebyshev Transform of Nonzero Reciprocal Polynomials with Integral Coefficients |
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| WANG Nian-liang,KONG Liang.A Kind of Chebyshev Transform of Nonzero Reciprocal Polynomials with Integral Coefficients[J].Natural Science Journal of Hainan University,2011,29(1):1-3. |
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| Authors: | WANG Nian-liang KONG Liang |
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| Institution: | (Department of Mathematics and Computing Science,Shangluo University,Shangluo 726000,China) |
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| Abstract: | According to the properties of the first kind and the second kind Chebyshev polynomials,Chebyshev transform of some nonzero reciprocal polynomials with integral coefficients such as P(n,n)(z)=z2n+1,Q(n,n)(z)=z2n+z2n-2+…+z2+1 were studied,and Chebyshev transform formulas on the polynomials P(mn,mn)(z),Q(mn-1,mn-1)(z) and a corollary were obtained. |
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| Keywords: | the first kind Chebyshev polynomial the second kind Chebyshev polynomial Chebyshev transform nonzero reciprocal polynomials with real coefficients |
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