A certain family of infinite series associated with digamma functions
The sums of several interesting infinite series were expressed recently in terms of the Psi (or Digamma) functions. The object of this paper is to present a systematic account of these (and of numerous similar or general) series whose sums can be found in the literature in various equivalent forms. Some relevant unifications and further generalizations are also considered. Related references include some recent papers by (i) \textit{S. L. Kalla} and \textit{B. Al-Saqabi} [C. R. Acad. Bulg. Sci. 41, No. 11, 15--17 (1988; Zbl 0662.33001)], (ii) \textit{K. Nishimoto} and \textit{H. M. Srivastava} [J. Coll. Eng., Nihon Univ., Ser. B 30, 97--106 (1989; Zbl 0651.33002)], and (iii) \textit{H. M. Srivastava} [Stud. Appl. Math. 86, No. 1, 79--86 (1992; Zbl 0724.33002)].
scientific article; zbMATH DE number 4198453
scientific article