On sums with generalized harmonic numbers via Euler’s transform

Neşe Ömür, Sibel Koparal, Laid Elkhiri
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 29, 2023, Number 4, Pages 695–704
DOI: 10.7546/nntdm.2023.29.4.695-704
Full paper (PDF, 218 Kb)

Details

Authors and affiliations

Neşe Ömür
Department of Mathematics, University of Kocaeli
41380 Izmit, Kocaeli, Turkey

Sibel Koparal
Department of Mathematics, University of Bursa Uludağ
16059 Nilufer, Bursa, Turkey

Laid Elkhiri
Faculty of Material Sciences, University of Tiaret
Algeria

Abstract

In this paper, we define the generalized hyperharmonic numbers of order r, H_{n}^{r}\left( \sigma \right) and get some identities involving these numbers by using Euler’s transform.

Keywords

  • Euler’s transform
  • Generalized hyperharmonic numbers of order r

2020 Mathematics Subject Classification

  • 05A15
  • 11S80
  • 11B68

References

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Manuscript history

  • Received: 6 February 2022
  • Revised: 19 September 2023
  • Accepted: 30 October 2023
  • Online First: 14 November 2023

Copyright information

Ⓒ 2023 by the Authors.
This is an Open Access paper distributed under the terms and conditions of the Creative Commons Attribution 4.0 International License (CC BY 4.0).

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Cite this paper

Ömür, N., Koparal, S., & Elkhiri, L. (2023). On sums with generalized harmonic numbers via Euler’s transform. Notes on Number Theory and Discrete Mathematics, 29(4), 695-704, DOI: 10.7546/nntdm.2023.29.4.695-704.

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