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


CAN M., DİL A., KARGIN L., CENKCİ M., GÜLOĞLU M.

Journal of the Ramanujan Mathematical Society, cilt.40, sa.4, ss.333-345, 2025 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 40 Sayı: 4
  • Basım Tarihi: 2025
  • Dergi Adı: Journal of the Ramanujan Mathematical Society
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.333-345
  • Akdeniz Üniversitesi Adresli: Evet

Özet

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.