Binomial summation formulae concerning harmonic numbers
This study establishes various summation formulas involving harmonic and generalized harmonic numbers, as well as binomial coefficients. Additionally, several finite series identities and their limits related to $H_{2k}$, $H^{(2)}_{2k}$ and $O_k$ are derived as specific instances.
Authors
- Dongwei Guo (ORCID: https://orcid.org/0000-0001-9226-254X)
- Yingming Zhu (ORCID: https://orcid.org/0009-0007-1672-0167)
Institutions
- Nanjing University of Science and Technology (CN)
Publication Details
- Journal
- Proceedings of the Romanian Academy Series A Mathematics Physics Technical Sciences Information Science
- Published
- 2024-09-15
- DOI
- https://doi.org/10.59277/pra-ser.a.25.3.02
- Primary Topic
- Advanced Mathematical Identities
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China
- Government of Jiangsu Province