ON AN EXTENSION OF ABEL-GONTSCHAROFF＇S EXPANSION FORMULA

• 作 者: Tianxiao He Leetsch C. Hsu Pet
• 机 构: IllinoisWesleyanUniversity,DalianUniversityofTechnology,UniversityofNevadaLasVegas
• 出 处: 分析理论与应用：英文刊
• 发表日期: 2005年4期
• 关键词: Abel-Gontscharoff扩展 多项式 Abel-Gontscharoff插值函数 零化子系数 Abel-Gontscharoff＇s Expansio
• 基金项目: This paper is a talk on the 《International Conference at Analysis in Theory and Applications》 held in Nanjing, P. R. China, July, 2004.

We present a constructive generalization of Abel-Gontscharoff's series expansion to higher dimensions. A constructive application to a problem of multivariate interpolation is also investigated. In addition, two algorithms for constructing the basis f