Abstract
Two types of symbolic summation formulas are reformulated using an extension of Mullin–Rota’s substitution rule in [R. Mullin, G.-C. Rota, On the foundations of combinatorial theory: III. Theory of binomial enumeration, in: B. Harris (Ed.), Graph Theory and its Applications, Academic Press, New York, London, 1970, pp. 167–213], and several applications involving various special formulas and identities are presented as illustrative examples.
Original language | American English |
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Journal | Computers & Mathematics with Applications |
Volume | 58 |
State | Published - Oct 2009 |
Keywords
- Bernoulli number
- Catalan number
- Delta operator
- Generalized harmonic number
- Stirling numbers
Disciplines
- Applied Mathematics
- Mathematics