English

Generalizations of the Euler-Mascheroni constant associated with the hyperharmonic numbers

Number Theory 2021-09-06 v1 Classical Analysis and ODEs

Abstract

In this paper, we present two new generalizations of the Euler-Mascheroni constant arising from the Dirichlet series associated to the hyperharmonic numbers. We also give some inequalities related to upper and lower estimates, and evaluation formulas.

Cite

@article{arxiv.2109.01515,
  title  = {Generalizations of the Euler-Mascheroni constant associated with the hyperharmonic numbers},
  author = {Mümün Can and Ayhan Dil and Levent Kargın and Mehmet Cenkci and Mutlu Güloğlu},
  journal= {arXiv preprint arXiv:2109.01515},
  year   = {2021}
}
R2 v1 2026-06-24T05:39:43.049Z