The sums of several interesting families of infinite series were recently e
xpressed in terms of the Psi (or Digamma) functions. The main object of thi
s paper is to present a further generalization of two such classes of infin
ite sums which were considered earlier by Al-Saqabi et al. (J. Math. Anal.
Appl. 159 (1991) 361-372). Some other results, relevant to the present inve
stigation, are also indicated. (C) 1999 Elsevier Science Inc. All rights re
served.