Concerning Two Formulaic Classes in Computational Combinatorics
Received:April 27, 2011  Revised:August 31, 2011
Key Words: difference operator   Newton-type series   $\Delta$-operational series transformation   summation formula   combinatorial identity.  
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Author NameAffiliation
Leetsch C. HSU School of Mathematical Sciences, Dalian University of Technology, Liaoning 116024, P. R. China 
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Abstract:
      Here introduced and studied are two formulaic classes consisting of various combinatorial algebraic identities and series summation formulas. The basic ideas include utilizing properly the $\Delta$-operator and Stirling numbers for some series transformations. A variety of classic formulas and remarkable identities are shown to be the members of the classes.
Citation:
DOI:10.3770/j.issn:2095-2651.2012.02.001
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