| ON ABEL-GONTSCHAROFF-GOULD＇S POLYNOMIALS |
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| 作者姓名： | HeTianxiao LeetsehC.Hsu PeterJ.S.Shiue |
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| 作者单位： | [1]IllinoisWesleyanUniversity,USA [2]DalianUniversityofTechnology,China [3]UniversityofNevadaLasVegas,USA |
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| 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.
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| 关 键 词： | Abel-Gontscharoff-Gould多项式 系数 线性变换 幂级数 |
| 收稿时间： | 25 June 2003 |
On Abel-Gontscharoff-Gould’s polynomials |
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| HeTianxiao LeetsehC.Hsu PeterJ.S.Shiue.On Abel-Gontscharoff-Gould’s polynomials[J].Analysis in Theory and Applications,2003,19(2):166-184. |
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| Authors: | He Tianxiao Leetsch C Hsu Peter J S Shiue |
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| Institution: | (1) Department of Mathematics and Computer Science, Illinois Wesleyan University, 61702-2900 Bloomington, IL, USA;(2) Department of Mathematics, Dalian University of Technology, 116024 Dalian, P. R. China;(3) Department of Mathematics, University of Nevada Las Vegas, 89154-4020 Las Vegas, NV, USA |
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| Abstract: | 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. |
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| Keywords: | annihilation coefficients Gould’ s identity Abel-Gontscharoff polynomial ring of formal power series Abel-Gontscharoff interpolation series |
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