| ON A SET OF h-HARMONIC HOMOGENEOUS POLYNOMIALS |
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| 作者姓名： | WangRenhong ZhouHeng |
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| 作者单位： | DalianUniversityofTechnology,China |
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| 摘 要： | In this paper, we study the homogeneous polynomials orthogonal with the weight function h(x(d))=x1^2k1…xd^2kd on S^(d-1).We obtain the explicit formula on a basis of the orthogonal homogeneous polynomials of degree n. It is simpler than the formula in,and can be regarded as an extension of under the weighted case.
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| 关 键 词： | 重力函数 直接公式 h谐和正交统一多项式 重力问题 |
| 收稿时间： | 5 March 2003 |
On a set of<Emphasis Type="Italic">h</Emphasis>-harmonic homogeneous polynomials |
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| WangRenhong ZhouHeng.ON A SET OF h-HARMONIC HOMOGENEOUS POLYNOMIALS[J].Analysis in Theory and Applications,2003,19(3):234-237. |
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| Authors: | Wang Renhong Zhou Heng |
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| Institution: | (1) Institute of Mathematical Sciences, Dalian University of Technology, 116024 Dalian, P. R. China |
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| Abstract: | In this paper, we study the homogeneous polynomials orthogonal with the weight function h(x(d))=x
1
2k
...x
d
2k
on Sd−1. We obtain the explicit formula on a basis of the orthogonal homogeneous polynomials of degree n. It is simpler than the
formula in 2], and can be regarded as an extension of 1] under the weighted case.
Supported by the National Natural Science Foundation of China (No. 10271022, and the Natural Science Foundation of Guangdong
Province, China(No. 021755). |
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| Keywords: | h-harmonic homogeneous polynomials weight functions |
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