| A Symbolic Operator Approach to Newton Series |
| Received:March 09, 2009 Revised:May 18, 2009 |
| Key Words:
symbolic operator Newton generating function potential polynomial hypergeometric function Stirling number.
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| Fund Project:Supported by the Fundamental Research Funds for the Central Universities. |
| Author Name | Affiliation | | Min XU | 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
| | Qin FANG | College of Information, Dalian University, Liaoning 116622, P. R. China | | Tian Ming WANG | School of Mathematical Sciences, Dalian University of Technology, Liaoning 116024, P. R. China
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| 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 $\{f(k)\}$. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2011.01.007 |
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