2 citations · 4 across the 4 of their papers we have counts for
8 papers
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…
Euler sums of generalized harmonic numbers and connected extensions
Mümün Can, Levent Kargın, Ayhan Dil +1
This paper presents the evaluation of the Euler sums of generalized hyperharmonic numbers \[ ζ_{H^{\left( p,q\right) }}\left( r\right) =\sum\limits_{n=…
Formulas for sums of powers of integers and their reciprocals
Levent Kargın, Ayhan Dil, Mümün Can
This paper gives new explicit formulas for sums of powers of integers and their reciprocals.
Polynomials with r-Lah coefficient and hyperharmonic numbers
Levent Kargın, Mümün Can
In this paper, we take advantage of the Mellin type derivative to produce some new families of polynomials whose coefficients involve r-Lah numbers. One of these polynomials leads…