On the Stieltjes constants with respect to harmonic zeta functions

Kargın, LEVENT; Dil, AYHAN; Cenkci, MEHMET; Can, MÜMÜN

doi:10.1016/j.jmaa.2023.127302

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, Scopus)

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.