ON ABEL-GONTSCHAROFF-GOULD’S POLYNOMIALS

作     者：HeTianxiao LeetsehC.Hsu PeterJ.S.Shiue 

作者机构：IllinoisWesleyanUniversityUSA DalianUniversityofTechnologyChina UniversityofNevadaLasVegasUSA 

出 版 物：《Analysis in Theory and Applications》 (分析理论与应用（英文刊）)

年 卷 期：2003年第19卷第2期

页      面：166-184页

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：annihilation coefficients Gould's identity Abel-Gontscharoff polynomial ring of formal power series Abel-Gontscharoff interpolation series 

摘      要：In this paper a connective study of Gould s annihilation coefficients and Abel-Gontscharoff polynomials is presented. It is shown that Gould s annihilation coefficients and Abel-Gontscharoff polynomials are actually equivalent to each other under certain linear substitutions for the variables. Moreover, a pair of related expansion formulas involving Gontscharoff s remainder and a new form of it are demonstrated, and also illustrated with several examples.