| 契比雪夫多项式零点的一种简单应用 |
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| 引用本文： | 向莹.契比雪夫多项式零点的一种简单应用[J].金陵科技学院学报,2011,27(4):5-7. |
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| 作者姓名： | 向莹 |
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| 作者单位： | 常州机电职业技术学院,江苏常州,213164 |
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| 摘 要： | 契比雪夫多项式的零点应用广泛,将复平面上契比雪夫及第二类契比雪夫多项式的零点垂直映射到单位圆周上,可以证明多项式z2n+1和zn-1的零点均在单位圆周上这一结论。
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| 关 键 词： | 零点 单位圆周 多项式 垂直映射 |
The Application of Chebyshev Polynomials Zero Points |
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| XIANG Ying.The Application of Chebyshev Polynomials Zero Points[J].Journal of Jinling Institute of Technology,2011,27(4):5-7. |
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| Authors: | XIANG Ying |
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| Affiliation: | XIANG Ying(Changzhou Institute of Mechatronic Technology,Changzhou 213164,China) |
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| Abstract: | The zero point of Chebyshev polynomials has a wide use. This article proves the conclusion that the zero points of the polynomials Z^2n＋1and Z^n-1are both on unit circumference by vertically mapping the zero points of Chebyshev and the second Chebyshev polynomials of the complex plane on unit circumference. |
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| Keywords: | zero point unit circumference polynomials vertical mapping |
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