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A family of shifted harmonic sums

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Abstract

In this paper, we first develop a set of identities for Euler-type sums. We then investigate products of the shifted harmonic numbers and the reciprocal binomial coefficients. We briefly indicate relevant connections of the results presented here with those given by earlier authors. As by-products of our investigation, we derive several (presumably new) one-parameter and two-parameter summation formulas for the hypergeometric series \(\;_3F_2\;\) at argument 1.

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Authors and Affiliations

  1. Section of Mathematics, VU College, Victoria University of Technology, P. O. Box 14428, Melbourne, VIC , 8001, Australia

    Anthony Sofo

  2. Department of Mathematics and Statistics, University of Victoria, Victoria, BC , V8W 3R4, Canada

    H. M. Srivastava

Authors
  1. Anthony Sofo
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  2. H. M. Srivastava
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Correspondence to Anthony Sofo.

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Sofo, A., Srivastava, H.M. A family of shifted harmonic sums. Ramanujan J 37, 89–108 (2015). https://doi.org/10.1007/s11139-014-9600-9

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  • DOI: https://doi.org/10.1007/s11139-014-9600-9

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