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.
Applied Mathematics | Mathematics
He, Tian-Xiao; Hsu, Leetsch; and Yin, Dongsheng, "A Pair of Operator Summation Formulas and Their Applications" (2009). Scholarship. 22.