| Laurent 多项式及其零点 |
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| 引用本文： | 周恒,王仁宏. Laurent 多项式及其零点[J]. 数学研究及应用, 2006, 26(1): 19-22 |
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| 作者姓名： | 周恒 王仁宏 |
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| 作者单位： | 1. 北京师范大学数学科学学院,北京,100875
2. 大连理工大学数学研究所,辽宁,大连,116024 |
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| 基金项目： | NNSF of China (10271022, 60373093, 69973010)，the NSF of Guangdong Province (021755) |
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| 摘 要： | 本文给出了测度dψ为强分布的一个必要条件,并得到了dψ为强分布时的Laurent多项式最大零点的一个表示。
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| 关 键 词： | Laurent多项式 求积公式 Laurent多项式的零点 |
| 文章编号： | 1000-341X(2006)01-0019-04 |
| 收稿时间： | 2004-03-26 |
| 修稿时间： | 2004-03-26 |
Orthogonal Laurent Polynomials and Their Zeros |
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| ZHOU Heng and WANG Ren-hong. Orthogonal Laurent Polynomials and Their Zeros[J]. Journal of Mathematical Research with Applications, 2006, 26(1): 19-22 |
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| Authors: | ZHOU Heng and WANG Ren-hong |
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| Affiliation: | Dept. of Math., Beijing Normal University, Beijing 100875, China;Inst. of Math. Sci., Dalian University of Technology, Liaoning 116024, China |
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| Abstract: | In this note, we investigate the necessity for the measure $dpsi$ being a strong distribution, which is associated with the coefficients of the recurrence relation satisfied by the orthogonal Laurent polynomials. We also give out a representation of the greatest zeros of orthogonal Laurent polynomials in the case of $dpsi$ being a strong distribution. |
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| Keywords: | orthogonal Laurent polynomials quadrature rule zeros of orthogonal Laurent polynomials. |
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