Abstract
The aim of this paper is to investigate harmonic Stieltjes constants occurring in the Laurent expansions of the functionζH(s,a)=∑n=0∞1(n+a)s∑k=0n1k+a, Re(s)>1, 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.
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