9 citations · 24 across the 10 of their papers we have counts for
5 papers · 1 filter
On properties of Tribonacci-Lucas polynomials
Hasan Kose, Nazmiye Yilmaz, Necati Taskara
In this paper, we investigated properties of Tribonacci-Lucas polynomials which generalized Tribonacci-Lucas numbers. From this generalization, we also obtain some new algebraic pr…
On the binomial sums of Horadam sequence
Nazmiye Yilmaz, Necati Taskara
The main purpose of this paper is to establish some new properties of Horadam numbers in terms of binomial sums. By that, we can obtain these special numbers in a new and direct wa…
On the properties of circulant matrices involving Generalized Tribonacci and Generalized Tribonacci-Lucas numbers
Nazmiye Yilmaz, Yasin Yazlik, Necati Taskara
In this paper, firstly, we define the Generalized Tribonacci-Lucas numbers. In addition, by also defining circulant matrices C_{n}(G) and C_{n}(S) whose entries are Generalized Tri…
The Binomial Transforms of Tribonacci and Tribonacci-Lucas sequences
Nazmiye Yilmaz, Necati Taskara
In this study, we apply the binomial transforms to Tribonacci and Tribonacci-Lucas sequences. Also, the Binet formulas, summations, generating functions of these transforms are fou…
Incomplete Tribonacci-Lucas numbers and polynomials
N. Yilmaz, N. Taskara
In this paper, we define Tribonacci-Lucas polynomials and present Tribonacci-Lucas numbers and polynomials as a binomial sum. Then, we introduce incomplete Tribonacci-Lucas numbers…