Journal of the Ramanujan Mathematical Society
Volume 40, Issue 4, December 2025 pp. 333–345.
Generalizations of the Euler-Mascheroni constant associated with the
hyperharmonic numbers
Authors:
Mümün Can, Ayhan Dil, Levent Kargın, Mehmet Cenkci, Mutlu Güloğlu
Author institution:Department of Mathematics, Akdeniz University, 07058-Antalya, Turkey.
Summary:
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.
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