Several expressions for degenerate harmonic numbers and some related numbers
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866916877431734272 |
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| author | Kim, Taekyun Kim, Dae san Hwang, Kyo-Shin |
| author_facet | Kim, Taekyun Kim, Dae san Hwang, Kyo-Shin |
| contents | Many authors have recently studied the degenerate harmonic numbers. This paper makes two main contributions. First, we derive several explicit expressions for these numbers, which are a degenerate version of the ordinary harmonic numbers. We also examine the degenerate harmonic numbers of order m and find an expression for them. Second, we investigate some related numbers that are closely connected to the degenerate harmonic numbers of order m, which reduce to the degenerate harmonic numbers when m=1 |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_01189 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Several expressions for degenerate harmonic numbers and some related numbers Kim, Taekyun Kim, Dae san Hwang, Kyo-Shin Number Theory 11B73, 11B83 Many authors have recently studied the degenerate harmonic numbers. This paper makes two main contributions. First, we derive several explicit expressions for these numbers, which are a degenerate version of the ordinary harmonic numbers. We also examine the degenerate harmonic numbers of order m and find an expression for them. Second, we investigate some related numbers that are closely connected to the degenerate harmonic numbers of order m, which reduce to the degenerate harmonic numbers when m=1 |
| title | Several expressions for degenerate harmonic numbers and some related numbers |
| topic | Number Theory 11B73, 11B83 |
| url | https://arxiv.org/abs/2508.01189 |