Generating Functions for Binomial Series Involving Harmonic-like Numbers
By employing the coefficient extraction method, a class of binomial series involving harmonic numbers will be reviewed through three hypergeometric F12(y2)-series. Numerous closed-form generating functions for infinite series containing binomial coefficients and harmonic numbers will be established, including several conjectured ones.
Authors
- Wenchang Chu (ORCID: https://orcid.org/0000-0002-8425-212X)
- Chunli Li
Institutions
- University of Salento (IT)
- Zhoukou Normal University (CN)
Publication Details
- Journal
- Mathematics
- Published
- 2024-08-29
- DOI
- https://doi.org/10.3390/math12172685
- Citations
- 4
- Primary Topic
- Advanced Mathematical Identities
- Type
- article
- Field-Weighted Citation Impact
- 5.08