A certain class of infinite sums associated with Digamma functions

摘要

The sums of several interesting families of infinite series were recently expressed in terms of the Psi (or Digamma) functions. The main object of this paper is to present a further generalization of two such classes of infinite 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 investigation, are also indicated.