Some classes of infinite series associated with the Riemann Zeta and polygamma functions and generalized harmonic numbers

Authors:
Themistocles M. Rassias;H. M. Srivastava
Affiliations:
Department of Mathematics, National Technical University of Athens, Zografou Campus, GR-15780 Athens, Greece;Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3P4, Canada
Venue:
Applied Mathematics and Computation
Year:
2002

Citing 3
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Abstract

The authors aim at presenting a systematic investigation of several families of infinite series which are associated with the Riemann Zeta function, the Digamma (and Polygamma) functions, the harmonic (and generalized harmonic) numbers, and the Stirling numbers of the first kind. Relevant connections of the results derived here with those considered in many earlier works on this subject are also indicated.