Some summation rules related to the Riordan arrays Original Research Article

In this paper, the concept of Riordan array is used to propose three theorems on combinatorial sums, provided that ∑k=jn F(n,k)dk,j=ϕ(n,j). A large number of useful identities tying together the coefficients in various combinatorial function expansions are obtained by proving the equivalence of two combinatorial sums.