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.
Combinatorial sums and implicit Riordan arrays / D. MERLINI; R. SPRUGNOLI; M. VERRI. - In: DISCRETE MATHEMATICS. - ISSN 0012-365X. - STAMPA. - 309 (2):(2009), pp. 475-486. [10.1016/j.disc.2007.12.039]
Combinatorial sums and implicit Riordan arrays
MERLINI, DONATELLA;SPRUGNOLI, RENZO;VERRI, MARIA CECILIA
2009
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.File in questo prodotto:
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