2 citations · 2 across the 1 of their papers we have counts for
5 papers
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…
Reciprocity formulas for Hall-Wilson-Zagier type Hardy-Berndt sums
Mümün Can
In this paper, we introduce vast generalizations of the Hardy-Berndt sums. They involve higher-order Euler and/or Bernoulli functions, in which the variables are affected by certai…
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…