Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Generalized Hyperharmonic Number Sums With Reciprocal Binomial Coefficients

Version 1 : Received: 11 April 2021 / Approved: 12 April 2021 / Online: 12 April 2021 (12:43:36 CEST)

How to cite: Li, R. Generalized Hyperharmonic Number Sums With Reciprocal Binomial Coefficients. Preprints 2021, 2021040297 (doi: 10.20944/preprints202104.0297.v1). Li, R. Generalized Hyperharmonic Number Sums With Reciprocal Binomial Coefficients. Preprints 2021, 2021040297 (doi: 10.20944/preprints202104.0297.v1).

Abstract

In this paper, we mainly show that generalized hyperharmonic number sums with reciprocal binomial coefficients can be expressed in terms of classical (alternating) Euler sums, zeta values and generalized (alternating) harmonic numbers.

Subject Areas

generalized hyperharmonic numbers, classical Euler sums, binomial coefficients, combinatorial approach, partial fraction approach

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