Double sums involving binomial coefficients and special numbers
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908619731107840 |
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| author | Adegoke, Kunle Frontczak, Robert Gryszka, Karol |
| author_facet | Adegoke, Kunle Frontczak, Robert Gryszka, Karol |
| contents | In this paper, we find an elementary approach for double sums where the inner sum is binomial but incomplete. We apply our core identity and its relatives to double sums involving famous numbers such as harmonic numbers, Fibonacci numbers, Stirling numbers and $r$-Stirling numbers of the second kind. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_25792 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Double sums involving binomial coefficients and special numbers Adegoke, Kunle Frontczak, Robert Gryszka, Karol Combinatorics 11B39, 11B65, 11B73 In this paper, we find an elementary approach for double sums where the inner sum is binomial but incomplete. We apply our core identity and its relatives to double sums involving famous numbers such as harmonic numbers, Fibonacci numbers, Stirling numbers and $r$-Stirling numbers of the second kind. |
| title | Double sums involving binomial coefficients and special numbers |
| topic | Combinatorics 11B39, 11B65, 11B73 |
| url | https://arxiv.org/abs/2510.25792 |