68 citations · 95 across the 8 of their papers we have counts for
8 papers
Character analogues of certain Hardy-Berndt sums
Mümün Can, Veli Kurt
In this paper we consider transformation formulas for \[ B\left( z,s:χ\right) =\sum\limits_{m=1}^{\infty}\sum\limits_{n=0} ^{\infty}χ(m)χ(2n+1)\left( 2n+1\right) ^{s-1}e^{πim(2n+1)…
Polynomials Related to Harmonic Numbers and Evaluation of Harmonic Number Series II
Ayhan Dil, Veli Kurt
In this paper we focus on r-geometric polynomials, r-exponential polynomials and their harmonic versions. It is shown that harmonic versions of these polynomials and their generali…
Polynomials Related to Harmonic Numbers and Evaluation of Harmonic Number Series I
Ayhan Dil, Veli Kurt
In this paper we focus on two new families of polynomials which are connected with exponential polynomials and geometric polynomials. We discuss their generalizations and show that…
Investigating Exponential and Geometric Polynomials with Euler-Seidel Algorithm
Ayhan Dil, Veli Kurt
In this paper we use Euler-Seidel matrices method to find out some properties of exponential and geometric polynomials and numbers. Some known results are reproved and some new res…
A generalization of the Widder potential transform and applications
Nese Dernek, Veli Kurt, Yilmaz Simsek +1
In the present paper the authors consider the -transform as a generalization of the Widder potential transform and the Glasser transform. The …
Twisted Dedekind Type Sums Associated with Barnes' Type Multiple Frobenius-Euler l-Functions
Mehmet Cenkci, Yilmaz Simsek, Mumun Can +1
The aim of this paper is to construct new Dedekind type sums. We construct generating functions of Barnes' type multiple Frobenius-Euler numbers and polynomials. By applying Mellin…