English

Some identities on degenerate hyperharmonic numbers

Number Theory 2022-05-23 v1

Abstract

The aim of this paper is to investigate some properties, recurrence relations and identities involving degenerate hyperharmonic numbers, hyperharmonic numbers and degenerate harmonic numbers. In particular, we derive an explicit expression of the degenerate hyperharmonic numbers in terms of the degenerate harmonic numbers. This is a degenerate version of the corresponding identity representing the hyperharmonic numbers in terms of harmonic numbers due to Conway and Guy.

Keywords

Cite

@article{arxiv.2205.10010,
  title  = {Some identities on degenerate hyperharmonic numbers},
  author = {Taekyun Kim and Dae San Kim},
  journal= {arXiv preprint arXiv:2205.10010},
  year   = {2022}
}

Comments

10 pages

R2 v1 2026-06-24T11:23:11.318Z