| ON A SET OF h-HARMONIC HOMOGENEOUS POLYNOMIALS |
| |
| 作者姓名： | Wang Renhong Zhou Heng |
| |
| 作者单位： | Dalian University of Technology，China |
| |
| 基金项目： | Supported by the National Natural Science Foundation of China( No. 1 0 2 71 0 2 2 ,and the NaturalScience Foundation of Guangdong Province,China( No.0 2 1 75 5 ) |
| |
| 摘 要： | 1 IntroductionLet Sd- 1 bethe unitsphere of Rd,Πdthe space of allpolynomialsofd variables,and x(i)= (x1 ,… ,xi) (i=1 ,… ,d) .In this paper,we are concerned with the homogeneous polyno-mials orthogonal with the weightfunction h(x(d) ) =x2 k11 …x2 kdd on Sd- 1 ,where ki≥ 0 (i=1 ,… ,d) .Connected with the weightfunction h(x(d) ) are the following differential-differenceoperators introduced by Charles F. Dunkl in 3 ] ,Dip(x(d) ) = p(x(d) ) xi+ di=1kip(x(d) ) -p(x1 ,… ,-xi,… ,xd)xi,Δ…
|
ON A SET OF h-HARMONIC HOMOGENEOUS POLYNOMIALS |
| |
| Wang Renhong,Zhou Heng.ON A SET OF h-HARMONIC HOMOGENEOUS POLYNOMIALS[J].Analysis in Theory and Applications,2003,19(3). |
| |
| Authors: | Wang Renhong Zhou Heng |
| |
| Abstract: | |
| |
| Keywords: | h-harmonic homogeneous polynomials weight functions |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
