Ahmet Öteleş - Academia.edu (original) (raw)

Ahmet Öteleş

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Papers by Ahmet Öteleş

Research paper thumbnail of Positive integer powers of certain complex tridiagonal matrices

Applied Mathematics and Computation, 2013

In this paper, we firstly present a general expression for the entries of the th r   N r  powe... more In this paper, we firstly present a general expression for the entries of the th r   N r  power of certain-square n are complex tridiagonal matrix, in terms of the Chebyshev polynomials of the first kind. Secondly, we obtain two complex factorizations for Fibonacci and Pell numbers. We also give some Maple 13 procedures in order to verify our calculations.

Research paper thumbnail of On the Number of 1-factors of Bipartite Graphs

Mathematical Sciences Letters, 2013

Research paper thumbnail of Iranian Mathematical Society Title: . On the sum of Pell and Jacobsthal numbers by matrix method ON THE SUM OF PELL AND JACOBSTHAL NUMBERS BY MATRIX METHOD

Abstract. In this paper, we define two n-square upper Hessenberg matrices one of which correspond... more Abstract. In this paper, we define two n-square upper Hessenberg matrices one of which corresponds to the adjacency matrix of a directed pseudo graph. We investigate relations between permanents and determinants of these upper Hessenberg matrices, and sum formulas of the well-known Pell and Jacobsthal sequences. Finally, we present two Maple 13 procedures in order to calculate permanents of these upper Hessenberg matrices.

Research paper thumbnail of Positive integer powers of certain complex tridiagonal matrices

Applied Mathematics and Computation, 2013

In this paper, we firstly present a general expression for the entries of the th r   N r  powe... more In this paper, we firstly present a general expression for the entries of the th r   N r  power of certain-square n are complex tridiagonal matrix, in terms of the Chebyshev polynomials of the first kind. Secondly, we obtain two complex factorizations for Fibonacci and Pell numbers. We also give some Maple 13 procedures in order to verify our calculations.

Research paper thumbnail of On the Number of 1-factors of Bipartite Graphs

Mathematical Sciences Letters, 2013

Research paper thumbnail of Iranian Mathematical Society Title: . On the sum of Pell and Jacobsthal numbers by matrix method ON THE SUM OF PELL AND JACOBSTHAL NUMBERS BY MATRIX METHOD

Abstract. In this paper, we define two n-square upper Hessenberg matrices one of which correspond... more Abstract. In this paper, we define two n-square upper Hessenberg matrices one of which corresponds to the adjacency matrix of a directed pseudo graph. We investigate relations between permanents and determinants of these upper Hessenberg matrices, and sum formulas of the well-known Pell and Jacobsthal sequences. Finally, we present two Maple 13 procedures in order to calculate permanents of these upper Hessenberg matrices.

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