most citedDeterminant and Permanent of Hessenberg Matrix and Generalized Lucas Polynomials

7 citations · 11 across the 6 of their papers we have counts for

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6 papers

math.NT2011★ 1 cited

Determinantal and permanental representation of generalized bivariate Fibonacci p-polynomials

Kenan Kaygisiz, Adem Sahin

In this paper, we give some determinantal and permanental representations of generalized bivariate Fibonacci p-polynomials by using various Hessenberg matrices. The results that we…

math.NT2011★ 7 cited

Determinant and Permanent of Hessenberg Matrix and Generalized Lucas Polynomials

Kenan Kaygisiz, Adem Sahin

In this paper, we give some determinantal and permanental representations of Generalized Lucas Polynomials by using various Hessenberg matrices, which are general form of determina…

math.NT2011

Determinantal and Permanental Representation of Generalized Fibonacci Polynomials

Adem Sahin, Kenan Kaygisiz

In this paper, we give some determinantal and permanental representations of Generalized Fibonacci Polynomials by using various Hessenberg matrices. These results are general form…

math.NT2011★ 2 cited

k Sequences of Generalized Van der Laan and Generalized Perrin Polynomials

Kenan Kaygisiz, Adem Sahin

In this paper, we present k sequences of Generalized Van der Laan Polynomials and Generalized Perrin Polynomials using Genaralized Fibonacci and Lucas Polynomials. We give some pro…

math.NT2011

On the representation of k sequences of generalized order-k numbers

Kenan Kaygisiz, Adem Sahin

In this paper, we define k-generalized order-k numbers and we obtain a relation between i-th sequences and k-th sequences of k-generalized order-k numbers. We give some determinant…

math.NT2011★ 1 cited

Generalized Lucas Numbers and Relations with Generalized Fibonacci Numbers

Kenan Kaygisiz, Adem Sahin

In this paper, we present a new generalization of the Lucas numbers by matrix representation using Genaralized Lucas Polynomials. We give some properties of this new generalization…