68 citations · 171 across the 20 of their papers we have counts for
21 papers
Analytic properties of the parametric harmonic zeta function, with applications to harmonic Stieltjes constants
Merve Kara Öztürk, Mümün Can
This paper investigates the analytic structure of the parametric harmonic zeta function , a Dirichlet series associated with generalized harmonic numbers…
Partial Deranged Bell Numbers and Their Combinatorial Properties
Yahia Djemmada, Levent Kargın, Mümün Can
We introduce a novel generalization of deranged Bell numbers by defining the partial deranged Bell numbers , which count the number of set partitions of …
On certain harmonic zeta functions
Mümün Can, Levent Kargın, Mehmet Cenkci +1
This study deals with certain harmonic zeta functions, one of them occurs in the study of the multiplication property of the harmonic Hurwitz zeta function. The values at the negat…
On the Stieltjes constants with respect to harmonic zeta functions
Levent Kargın, Ayhan Dil, Mehmet Cenkci +1
The aim of this paper is to investigate harmonic Stieltjes constants occurring in the Laurent expansions of the function \[ ζ_{H}\left( s,a\right) =\sum_{n=0}^{\infty}\frac{1}{\lef…
Stieltjes constants appearing in the Laurent expansion of the hyperharmonic zeta function
Mümün Can, Ayhan Dil, Levent Kargın
In this paper, we consider meromorphic extension of the function \[ ζ_{h^{\left( r\right) }}\left( s\right) =\sum_{k=1}^{\infty} \frac{h_{k}^{\left( r\right) }}{k^{s}},\text{ }\ope…
Generalizations of the Euler-Mascheroni constant associated with the hyperharmonic numbers
Mümün Can, Ayhan Dil, Levent Kargın +2
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 ineq…