68 citations · 171 across the 20 of their papers we have counts for
4 papers · 1 filter
Generalized harmonic numbers via poly-Bernoulli polynomials
Levent Kargın, Mehmet Cenkci, Ayhan Dil +1
We present a relationship between the generalized hyperharmonic numbers and the poly-Bernoulli polynomials, motivated from the connections between harmonic and Bernoulli numbers. T…
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.