Complete Asymptotic Expansions for the Double Harmonic Sum and Related Constants
For n N := {1, 2, . ..}, let Ln := Hn -(2 ln 2)n + ln n, whereIt is known that limn Ln = -2 -1 - + ln 2, where denotes the Euler-Mascheroni constant.In this paper, we establish complete asymptotic expansions for the sequences Hn and Ln.
Authors
- Shun-Wei Xu
- Chao-Ping Chen
Institutions
- Henan Polytechnic University (CN)
Publication Details
- Journal
- Contributions to Mathematics
- Published
- 2026-03-04
- DOI
- https://doi.org/10.47443/cm.2026.010
- Primary Topic
- Holomorphic and Operator Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00