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November 2002 A certain family of series associated with the zeta and related functions
Junesang Choi, H. M. Srivastava
Hiroshima Math. J. 32(3): 417-429 (November 2002). DOI: 10.32917/hmj/1151007490

Abstract

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.

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Junesang Choi. H. M. Srivastava. "A certain family of series associated with the zeta and related functions." Hiroshima Math. J. 32 (3) 417 - 429, November 2002. https://doi.org/10.32917/hmj/1151007490

Information

Published: November 2002
First available in Project Euclid: 22 June 2006

zbMATH: 1160.11339
MathSciNet: MR1953732
Digital Object Identifier: 10.32917/hmj/1151007490

Subjects:
Primary: 11M06
Secondary: 11B68, 33B15, 33E20

Rights: Copyright © 2002 Hiroshima University, Mathematics Program

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Vol.32 • No. 3 • November 2002
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