  We define a new kind of classical digamma function, and establish its some
fundamental identities. Then we apply the formulas obtained, and extend tools
developed by Flajolet and Salvy to study more general Euler type sums. The main
results of Flajolet and Salvy's paper \cite{FS1998} are the immediate
corollaries of main results in this paper. Furthermore, we provide some
parameterized extensions of Ramanujan-type identities that involve hyperbolic
series. Some interesting new consequences and illustrative examples are
considered.
