We obtain a theorem that allows us to find the generating function for some sums related to non proper Riordan arrays. This function can be used to obtain a closed form for the sum or an asymptotic evaluation. We give several examples to illustrate some practical application of the theorem.
An algebraic approach to solve a class of combinatorial sums / D. Merlini;R. Sprugnoli;M. C. Verri. - STAMPA. - (1996), pp. 365-375. (Intervento presentato al convegno International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC'1996 tenutosi a Minneapolis, Minnesota nel June 25-29, 1996).
An algebraic approach to solve a class of combinatorial sums
MERLINI, DONATELLA;SPRUGNOLI, RENZO;VERRI, MARIA CECILIA
1996
Abstract
We obtain a theorem that allows us to find the generating function for some sums related to non proper Riordan arrays. This function can be used to obtain a closed form for the sum or an asymptotic evaluation. We give several examples to illustrate some practical application of the theorem.
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