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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. https://doi.org/10.20944/preprints202104.0297.v1 Li, R. Generalized Hyperharmonic Number Sums With Reciprocal Binomial Coefficients. Preprints 2021, 2021040297. https://doi.org/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.
Keywords
generalized hyperharmonic numbers, classical Euler sums, binomial coefficients, combinatorial approach, partial fraction approach
Subject
Computer Science and Mathematics, Algebra and Number Theory
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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