Yazar "Akbulak M." seçeneğine göre listele

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  • [ X ]
    Öğe
    On the sum of pell and jacobsthal numbers by matrix method
    (Iranian Mathematical Society, 2014) Akbulak M.; Öteleş A.
    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. © 2014 Iranian Mathematical Society.
  • [ X ]
    Öğe
    Positive integer powers of one type of complex tridiagonal matrix
    (School of Mathematical Sciences, 2014) Öteleş A.; Akbulak M.
    In this paper, we firstly present a general expression for the entries of the rth (r ? ?) power of a certain n-square 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. © 2014, School of Mathematical Sciences. All rights reserved.