5 citations · 11 across the 7 of their papers we have counts for
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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…
On Evaluations of Euler-type Sums of Hyperharmonic Numbers
Levent Kargın, Mümün Can, Ayhan Dil +1
We give explicit evaluations of the linear and non-linear Euler sums of hyperharmonic numbers with reciprocal binomial coefficients. These evaluations en…
New series with Cauchy and Stirling numbers, Part 2
Khristo N. Boyadzhiev, Levent Kargın
We evaluate in closed form several series involving products of Cauchy numbers with other special numbers (harmonic, skew-harmonic, hyperharmonic, and central binomial). Similar re…