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/