ON A SET OF h-HARMONIC HOMOGENEOUS POLYNOMIALS

被引:0
作者
Wang Renhong Zhou Heng (Dalian University of Technology
China)
机构
关键词
h-harmonic homogeneous polynomials; weight functions;
D O I
暂无
中图分类号
O174 [函数论];
学科分类号
070104 ;
摘要
In this paper, we study the homogeneous polynomials orthogonal with the weight function h(x (d))=x 2k 1 1…x 2k d d 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 [2], and can be regarded as an extension of [1] under the weighted case.
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页码:234 / 237
页数:4
相关论文
共 3 条
[1]  
Dunkl,C.F,Xu,Y.OrthogonalPolynomials ofSeveralVariables. . 2001
[2]  
V. V. Karachik.On one set of orthogonal harmonic polynomials. Proceedings of the American Mathematical Society . 1998
[3]  
Dunkl,C.F.Differential-DifferenceOperatorsAssociated toReflectionGroups. Transactions of the American Mathematical Society . 1989