A certain family of series associated with the zeta and related functions
2002; Hiroshima University - Department of Mathematics; Volume: 32; Issue: 3 Linguagem: Inglês
10.32917/hmj/1151007490
ISSN0018-2079
AutoresJunesang Choi, H. M. Srivastava,
Tópico(s)Mathematical functions and polynomials
ResumoThe 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.
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