A Class of Formal Operators for Combinatorial Identities and its Application
Commenced in January 2007
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Edition: International
Paper Count: 32797
A Class of Formal Operators for Combinatorial Identities and its Application

Authors: Ruigang Zhang, Wuyungaowa, Xingchen Ma

Abstract:

In this paper, we present some formulas of symbolic operator summation, which involving Generalization well-know number sequences or polynomial sequences, and mean while we obtain some identities about the sequences by employing M-R‘s substitution rule.

Keywords: Generating functions, operators sequence group, Riordan arrays, R. G operator group, combinatorial identities.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1335688

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References:


[1] Ch. Jordan, Calculus of Finite Differences, Chelsea Publishing Co. New York, 1970, pp. 66-192.
[2] L. Comtet, Advanced Combinatorics, D. Reidel Publishing Co., Dordrecht, 1974, pp. 169-174.
[3] H. S. Wilf, Generatingfunctionology, Academic Press, New York, 1990, pp. 48-96.
[4] R. Mullin snd G.-C. ROTA, On the foundations of combinatorial theory: III. Theory of binomial enumeration, in: Graph Theory and its Applications, New York and London, 1965, pp. 156-210.
[5] T. X. He, L. C. Hsu, and P.J. S. Shiue, Symbolization of generating functions, an qpplication of Mullin-Rota’s theory of binomial enumeration, Comp. Math. with Applications, 54 (2007), pp. 664-678.
[6] G.P.EGORYCHEV, Integral Representation and the Computation of Combinatorial Sums. American Mathematical Society Providence RhodeIsLand, 1984, pp. 68-90.