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Harmonic number sums in closed form

Authors
Publisher
Department of Mathematics, University of Osijek
Keywords
  • Integral Representations
  • Binomial Coefficients
  • Harmonic Numbers
  • Polylogarithms

Abstract

We extend some results of Euler related sums. Integral and closed form representation of sums with products of harmonic numbers and cubed binomial coefficients are developed in terms of Polygamma functions. The given representations are new.

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