Further Formulae for Harmonic Series with Convergence Rate “−1/4”
By applying the “coefficient extraction method” to the symmetric transformation of hypergeometric series due to Chu and Zhang (2014), an overview is presented systematically for a large class of infinite series of convergence rate “−1/4” concerning harmonic numbers. Numerous closed formulae in terms of mathematical constants (such as π, ln2 and the Riemann zeta values) are established. They may serve as a reference source for readers in their further investigations.
Authors
- Wenchang Chu (ORCID: https://orcid.org/0000-0002-8425-212X)
- Chunli Li
Institutions
- Zhoukou Normal University (CN)
Publication Details
- Journal
- Symmetry
- Published
- 2025-06-27
- DOI
- https://doi.org/10.3390/sym17071015
- Primary Topic
- Differential Equations and Boundary Problems
- Type
- article
- Field-Weighted Citation Impact
- 0.00