Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4648674 | Discrete Mathematics | 2009 | 12 Pages |
Abstract
In this paper we present the theory of implicit Riordan arrays, that is, Riordan arrays which require the application of the Lagrange Inversion Formula to be dealt with. We show several examples in which our approach gives explicit results, both in finding closed expressions for sums and, especially, in solving classes of combinatorial sum inversions.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Donatella Merlini, Renzo Sprugnoli, Maria Cecilia Verri,