### PUBLICACIONES

 Lecturas Matemáticas Volumen 25 [1] (2004)Páginas 15 - 24Artículos Matemáticos

FÃ³rmula de recorrÃªncia para a soma de sÃ©ries infinitas

Abstract. In this article we introduce a recurrence formula for certain infinite series whose terms include factors that belong to a generalized Horadam-type sequence. This recurrence formula is used to calculate the $\displaystyle{\sum_{n=1}^{+\infty}n^{k}W_{n}x^{n}}$ series sum without use of derivatives and at a lower computation cost. Some results are presented below which were obtained by numerical implementation of the recurrence formula for some particular values of $k$ and $x$.