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| 关于Newton级数的符号算子方法 | |
| 引用本文： | 徐敏,方芹,王天明.关于Newton级数的符号算子方法[J].数学研究及应用,2011,31(1):67-72. |
| 作者姓名： | 徐敏 方芹 王天明 |
| 作者单位： | 大连理工大学工业装备结构分析国家重点实验室, 辽宁 大连 116024; 大连理工大学数学科学学院, 辽宁 大连 116024;大连大学信息工程学院, 辽宁 大连 116622;大连理工大学数学科学学院, 辽宁 大连 116024 |
| 基金项目： | 中央高校基本科研业务费专项资金 |
| 摘 要： | In this paper, we present several expansions of the symbolic operator （1 ＋E）^x. Moreover, we derive some series transforms formulas and the Newton generating functions of {f（k）}. |
| 关 键 词： | symbolic operator Newton generating function potential polynomial hypergeometric function Stirling number. |
| 收稿时间： | 3/9/2009 12:00:00 AM |
| 修稿时间： | 2009/5/18 0:00:00 |
A Symbolic Operator Approach to Newton Series |
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| Min XU,Qin FANG and Tian Ming WANG.A Symbolic Operator Approach to Newton Series[J].Journal of Mathematical Research with Applications,2011,31(1):67-72. | |
| Authors: | Min XU Qin FANG and Tian Ming WANG |
| Institution: | 1. State Key Laboratory of Structural Analysis for Industrial Equipment,Dalian University of Technology,Liaoning 116024,P.R.China;School of Mathematical Sciences,Dalian University of Technology,Liaoning 116024,P.R.China 2. College of Information,Dalian University,Liaoning 116622,P.R.China 3. School of Mathematical Sciences,Dalian University of Technology,Liaoning 116024,P.R.China |
| Abstract: | In this paper, we present several expansions of the symbolic operator $(1+E)^x$. Moreover, we derive some series transforms formulas and the Newton generating functions of $\{f(k)\}$. |
| Keywords: | symbolic operator Newton generating function potential polynomial hypergeometric function Stirling number |
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