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.

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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

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article

Some identities associated with degenerate harmonic and hyperharmonic numbers

Dae San Kim, Qixiang Wang, Taekyun Kim, Dmitry V. Dolgy et al.
Mathematical and Computer Modelling of Dynamical Systems
Advanced Mathematical Identities
article

Some identities associated with degenerate harmonic and hyperharmonic numbers

Dae San Kim, Qixiang Wang, Taekyun Kim, Dmitry V. Dolgy, Yanan Hei
article en

Abstract

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.

Mathematical and Computer Modelling of Dynamical SystemsVol. 31(1)
Sogang University (KR), Kwangwoon University (KR), Xi'an Shiyou University (CN), Xi'an Technological University (CN)
Kwangwoon University
Openalex Percentile: Top 70%
Advanced Mathematical Identities
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