Yazar "Yilmaz, Nazmiye" seçeneğine göre listele

Listeleniyor 1 - 7 / 7
  • Küçük Resim Yok
    Öğe
    Binomial Transforms of the Padovan and Perrin Matrix Sequences
    (HINDAWI LTD, 2013) Yilmaz, Nazmiye; Taskara, Necati
    We apply the binomial transforms to Padovan and Perrin matrix sequences. Also, the Binet formulas, summations, and generating functions of these transforms are found by recurrence relations. Finally, we illustrate the relations between these transforms by deriving new formulas.
  • Küçük Resim Yok
    Öğe
    Incomplete Tribonacci-Lucas Numbers and Polynomials
    (SPRINGER BASEL AG, 2015) Yilmaz, Nazmiye; Taskara, Necati
    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 and polynomials. In addition we derive recurrence relations, some properties and generating functions of these numbers and polynomials. Also, we find the generating function of incomplete Tribonacci polynomials which is given as the open problem in [12].
  • Küçük Resim Yok
    Öğe
    Iterated binomial transform of the k-Lucas sequence
    (EUDOXUS PRESS, LLC, 2017) Yilmaz, Nazmiye; Taskara, Necati
    In this study, we apply "r" times the binomial transform to k-Lucas sequence. Also, the Binet formula, summation, generating function of this transform are found using recurrence relation. Finally, we give the properties of iterated binomial transform with classical Lucas sequence.
  • Küçük Resim Yok
    Öğe
    Matrix Sequences in terms of Padovan and Perrin Numbers
    (HINDAWI PUBLISHING CORPORATION, 2013) Yilmaz, Nazmiye; Taskara, Necati
    The first main idea of this paper is to develop the matrix sequences that represent Padovan and Perrin numbers. Then, by taking into account matrix properties of these new matrix sequences, some behaviours of Padovan and Perrin numbers will be investigated. Moreover, some important relationships between Padovan and Perrin matrix sequences will be presented.
  • Küçük Resim Yok
    Öğe
    On Properties of Bi-Periodic Fibonacci and Lucas Polynomials
    (AMER INST PHYSICS, 2017) Yilmaz, Nazmiye; Coskun, Arzu; Taskara, Necati
    In this paper, we define bi-periodic Fibonacci and Lucas polynomials and investigate properties of these polynomials which generalized of bi-periodic Fibonacci and Lucas numbers. We also obtain some new algebraic properties on these numbers and polynomials.
  • Küçük Resim Yok
    Öğe
    On the Bi-Periodic Lucas Octonions
    (SPRINGER BASEL AG, 2017) Yilmaz, Nazmiye; Yazlik, Yasin; Taskara, Necati
    In this manuscript, we define bi-periodic Lucas octonions by using the bi-periodic Lucas numbers. Also, we present the generating function of these octonions and some properties over them. After that, we get the relationships between the bi-periodic Fibonacci octonions and the bi-periodic Lucas octonions and the summations for the bi-periodic Lucas octonions.
  • Küçük Resim Yok
    Öğe
    On the Properties of Iterated Binomial Transforms for the Padovan and Perrin Matrix Sequences
    (SPRINGER BASEL AG, 2016) Yilmaz, Nazmiye; Taskara, Necati
    In this study, we apply "r" times the binomial transform to the Padovan and Perrin matrix sequences. Also, the Binet formulas, summations, generating functions of these transforms are found using recurrence relations. Finally, we give the relationships of between iterated binomial transforms for Padovan and Perrin matrix sequences.