Elaboration of Some Results of Srivastava and Choi

  • Li Hailong

    Weinan Normal College, China
  • Masayuki Toda

    Saga University, Japan


In this paper we shall utilize some recent results of S. Kanemitsu, H. Kumagai, H. M. Srivastava and M. Yoshimoto in Appl. Math. Comput. 154 (2004) on an asymptotic as well as an integral formula for the partial sum of the Hurwitz zeta-function, to elaborate on some results of Srivastava and Choi in Series Associated with the Zeta and Related Functions (Kluwer 2001), and in some cases to give improved generalizations thereof. More specifically, we shall give an asymptotic expansion of the sum of the values derivative of the digamma function. We shall also re-establish Bendersky–Adamchik's result and Elizalde's result.

Cite this article

Li Hailong, Masayuki Toda, Elaboration of Some Results of Srivastava and Choi. Z. Anal. Anwend. 25 (2006), no. 4, pp. 517–533

DOI 10.4171/ZAA/1305