Browsing by Author "Yağmur, Tülay"

Now showing items 1-13 of 13

    • Bikompleks-kompleks Leonardo sayıları 

      Parlak Akkurt, Nimet (Aksaray Üniversitesi Fen Bilimleri Enstitüsü, 2024)
      Bu tezin amacı, bikompleks-kompleks Leonardo sayılarını tanıtmak ve bu sayıların bazı özelliklerini incelemektir. Bu tez dört bölümden oluşmaktadır. İlk bölümde, çalışmamıza ışık tutan bazı çalışmalardan bahsedilmiştir. ...

    • Gauss modified pell sayilari üzerine 

      Karaaslan, Nusret (Aksaray Üniversitesi Fen Bilimleri Enstitüsü, 2019)
      Özel sayı dizileri ve bu dizilerin genelleştirilmeleri birçok yazar tarafından incelenmiştir. Bu tezin amacı Gauss modified Pell sayı dizisini tanımlamak ve birtakım özelliklerini belirlemektir. Ayrıca bu tanımı kullanarak ...

    • Gauss Pell kuaterniyon polinomlar üzerine 

      Duzcu, Mevlüt (Aksaray Üniversites Fen Bilimleri Enstitüsü, 2022)
      Fibonacci dizisi, sayı dizileri arasında en çok çalışılan tam sayı dizisidir. Diğer yandan Pell sayı dizisi ve bu sayı dizisinin genelleştirilmeleri de pek çok yazar tarafından çalışılmıştır. Bu tezin temel amacı, bileşenleri ...

    • Gaussian modified pell sequence and gaussian modified pell polynomial sequence 

      Yağmur, Tülay; Karaaslan, Nusret (Aksaray Üniversitesi, 2018)
      In this paper, we first define the Gaussian modified Pell sequence, for n ≥ 2, by the relation = 2 + with initial conditions = 1 ─ i and = 1 + i. Then we give the definition of the Gaussian modified Pell polynomial ...

    • Gaussian Pell-Lucas polynomials 

      Yağmur, Tülay (RGN Publications, 2019)
      In this paper, we first define the Gaussian Pell-Lucas polynomial sequence. We then obtain Binet formula, generating function and determinantal representation of this sequence. Also, some properties of the Gaussian Pell-Lucas ...

    • Hyper-Dual Leonardo Quaternions 

      Yağmur, Tülay (Naim Çağman, 2024)
      In this paper, hyper-dual Leonardo quaternions are defined and studied. Some basic properties of the hyper-dual Leonardo quaternions, including their relationships with the hyper-dual Fibonacci quaternions and hyper-dual ...

    • New Approach to Pell and Pell-Lucas Sequences 

      Yağmur, Tülay (Kyungpook Natl Univ, Dept Mathematics, 2019)
      In this paper, we first define generalizations of Pell and Pell-Lucas sequences by the recurrence relations p(n) = 2ap(n-1) + (b - a(2))p(n-2) and q(n) = 2aq(n-1) + (b - a(2))q(n-2) with initial conditions p(0) = 0, p(1) ...

    • A note on generalized hybrid tribonacci numbers 

      Yağmur, Tülay (Sciendo, 2020)
      In this paper, we introduce the generalized hybrid Tribonacci numbers. These numbers can be considered as a generalization of the generalized complex Tribonacci, generalized hyperbolic Tribonacci and generalized dual ...

    • A note on hyperbolic (p,q)-Fibonacci quaternions 

      Yağmur, Tülay (Ankara Üniversitesi, 2020)
      In this paper, we introduce a new quaternion sequence called hyperbolic (p, q)-Fibonacci quaternions. This new quaternion sequence includes hyperbolic Fibonacci, hyperbolic k-Fibonacci, hyperbolic Pell, hyperbolic k-Pell, ...

    • On generalized bicomplex k-Fibonacci numbers 

      Yağmur, Tülay (Bulgarian Academy of Sciences, 2019)
      In this paper, we introduce the generalized bicomplex k-Fibonacci numbers. We also give the generating function and Binet's formula for these numbers. In addition, we obtain some identities such as Honsberger, d' Ocagne's, ...

    • On Horadam finite operator hybrid numbers 

      Yağmur, Tülay (University of Tartu Press, 2023)
      In this paper, we introduce and study a new hybrid number sequence with Horadam numbers and a finite operator, called Horadam finite operator hybrid numbers. We derive recurrence relation, Binet-like formula, ordinary ...

    • On Quaternion-gaussian Fibonacci Polynomials 

      Yağmur, Tülay (University of Miskolc, 2023)
      In this paper, we define Gaussian Fibonacci quaternion polynomials and Gaussian Lucas quaternion polynomials. We also investigate some properties of these quaternion polynomials.

    • Split Jacobsthal and Jacobsthal-Lucas quaternions 

      Yağmur, Tülay (RGN Publications, 2019)
      In this paper, we introduce split Jacobsthal and split Jacobsthal-Lucas quaternions. We obtain generating functions and Binet's formulas for these quaternions. We also investigate some properties of them.