2 citations · 4 across the 5 of their papers we have counts for
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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…
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=…
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…
On the generating function of p-Bernoulli numbers: an alternative approach
Levent Kargın, Mourad Rahmani
In this note, we give an alternative proof of the generating function of -Bernoulli numbers. Our argument is based on the Euler's integral representation.
New results on p-Bernoulli numbers
Levent Kargın
We realize that geometric polynomials and p-Bernoulli polynomials and numbers are closely related with an integral representation. Therefore, using geometric polynomials, we extend…