Some identities associated with degenerate harmonic and hyperharmonic numbers
The study of degenerate versions of special polynomials and numbers has seen significant progress in recent years. In this paper, we establish several identities involving degenerate harmonic and hyperharmonic numbers, which are degenerate versions of their classical counterparts. We demonstrate the invertibility of these identities through specific inverse relations. Furthermore, we present a novel identity connecting fully degenerate Bernoulli numbers and harmonic numbers.
Authors
- Dae San Kim (ORCID: https://orcid.org/0000-0001-9599-7015)
- Qixiang Wang (ORCID: https://orcid.org/0009-0003-8495-8303)
- Taekyun Kim
- Dmitry V. Dolgy
- Yanan Hei
Institutions
- Sogang University (KR)
- Kwangwoon University (KR)
- Xi'an Shiyou University (CN)
- Xi'an Technological University (CN)
Publication Details
- Journal
- Mathematical and Computer Modelling of Dynamical Systems
- Published
- 2025-09-02
- DOI
- https://doi.org/10.1080/13873954.2025.2545196
- Primary Topic
- Advanced Mathematical Identities
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Kwangwoon University