On the Stieltjes constants with respect to harmonic zeta functions

Kargın L., Dil A., Cenkci M., Can M.

Journal of Mathematical Analysis and Applications, cilt.525, sa.2, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 525 Sayı: 2
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1016/j.jmaa.2023.127302
  • Dergi Adı: Journal of Mathematical Analysis and Applications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC, MathSciNet, zbMATH
  • Anahtar Kelimeler: Euler sum, Harmonic numbers, Laurent expansion, Stieltjes constant, Zeta values
  • Akdeniz Üniversitesi Adresli: Evet

Özet

The aim of this paper is to investigate harmonic Stieltjes constants occurring in the Laurent expansions of the function [Formula presented] which we call harmonic Hurwitz zeta function. In particular evaluation formulas for the harmonic Stieltjes constants γH(m,1/2) and γH(m,1) are presented.