A Symbolic Operator Approach to Newton Series
Received:March 09, 2009  Revised:May 18, 2009
Key Word: symbolic operator   Newton generating function   potential polynomial   hypergeometric function   Stirling number.  
Fund ProjectL:Supported by the Fundamental Research Funds for the Central Universities.
Author NameAffiliation
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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