A certain family of series associated with the zeta and related functions
Choi, Junesang ; Srivastava, H. M.
Hiroshima Math. J., Tome 32 (2002) no. 3, p. 417-429 / Harvested from Project Euclid
The history of problems of evaluation of series associated with the Riemann Zeta function can be traced back to Christian Goldbach (1690–1764) and Leonhard Euler (1707–1783). Many di¤erent techniques to evaluate various series involving the Zeta and related functions have since then been developed. The authors show how elegantly certain families of series involving the Zeta function can be evaluated by starting with a single known identity for the generalized (or Hurwitz) Zeta function. Some special cases and their connections with already developed series involving the Zeta and related functions are also considered.
Publié le : 2002-11-14
Classification:  11M06,  11B68,  33B15,  33E20
@article{1151007490,
     author = {Choi, Junesang and Srivastava, H. M.},
     title = {A certain family of series associated with the zeta and related functions},
     journal = {Hiroshima Math. J.},
     volume = {32},
     number = {3},
     year = {2002},
     pages = { 417-429},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1151007490}
}
Choi, Junesang; Srivastava, H. M. A certain family of series associated with the zeta and related functions. Hiroshima Math. J., Tome 32 (2002) no. 3, pp.  417-429. http://gdmltest.u-ga.fr/item/1151007490/