Uma classe de séries infinitas envolvendo termos de sequências generalizadas.

Abstract

In this article we introduce a recurrence formula for certain infinite series whose terms include factors that belong to a generalized Horadamtype sequence. This recurrence formula is used to calculate the sum of the series X +∞ n=1 n kWnx n without the need of derivatives and at a lower computational cost. Some results are apresented below which were obtained by numerical implementation of the recurrence formula for some particular values of k and x.