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20142017
most citedIncomplete Tribonacci-Lucas numbers and polynomials

9 citations · 26 across the 14 of their papers we have counts for

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6 papers · 1 filter

math.NT2014★ 1 cited

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…

math.CO2014

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…

math.NT2014

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…

math.CO2014★ 1 cited

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…

math.NT2014★ 2 cited

On the some properties of circulant matrix with third order linear recurrent sequence

Arzu Coskun, Necati Taskara

In this paper, firstly, we give the some fundamental properties of Van Der Laan numbers. After, we define the circulant matrices C(Z) which entries is third order linear recurrent…

math.NT2014★ 9 cited

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…