We have found that there are more than a dozen classical generating functions that could be suitably symbolized to yield various symbolic sum formulas by employing the Mullin–Rota theory of binomial enumeration. Various special formulas and identities involving well-known number sequences or polynomial sequences are presented as illustrative examples. The convergence of the symbolic summations is discussed.
Applied Mathematics | Mathematics
He, Tian-Xiao; s, Peter; and Hsu, Leetsch, "Symbolization of generating functions; an application of the Mullin–Rota theory of binomial enumeration" (2007). Scholarship. 23.