ON ABEL-GONTSCHAROFF-GOULD’S POLYNOMIALS
ON ABEL-GONTSCHAROFF-GOULD'S POLYNOMIALS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.