Açık Akademik Arşiv Sistemi

Browsing Makale Koleksiyonu by Issue Date

Browsing Makale Koleksiyonu by Issue Date

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  • SOME NEW IDENTITIES CONCERNING GENERALIZED FIBONACCI AND LUCAS NUMBERS 
    Keskin, Refik (HACETTEPE UNIV, FAC SCI, 2013)
    U2mn+r equivalent to (-t)(mn) U-r (mod U-m).
  • Spinor Bishop Equations of Curves in Euclidean 3-Space 
    Ünal, Doğan; Tosun, Murat (SPRINGER BASEL AG, 2013)
    In this paper, we study spinor Bishop equations of curves in . We research the spinor formulations of curves according to Bishop frames in . Also, the relations between spinor formulations of Bishop frames and Frenet frame ...
  • On Complex Fibonacci Quaternions 
    Halıcı, Serpil (SPRINGER BASEL AG, 2013)
    Horadam defined the Fibonacci quaternions and established a few relations for the Fibonacci quaternions. In this paper, we investigate the complex Fibonacci quaternions and give the generating function and Binet formula ...
  • Solutions of Some Diophantine Equations Using Generalized Fibonacci and Lucas Sequences 
    Keskin, Refik; Demirtürk Bitim, Bahar (CHARLES BABBAGE RES CTR, 2013)
    In this study, we deal with some Diophantine equations. By using the generalized Fibonacci and Lucas sequences, we obtain all integer solutions of some Diophantine equations such as x(2) - kxy - y(2) = -/+ 1, x(2) - kxy + ...
  • On some Diophantine equations 
    Demirtürk Bitim, Bahar; Keskin, Refik (SPRINGEROPEN, 2013)
    for p >= 3 and a square-free integer p(2) - 4. In addition to these, all solutions of some different Diophantine equations such as x(2) - v(2n)xy + y(2) = -(p(2) - 4)u(n)(2), x(2) - v(n)xy + y(2) = -(p(2) - 4), x(2) - ...
  • ON THE LUCAS SEQUENCE EQUATIONS V-n = kV(m) AND U-n = kU(m) 
    Keskin, Refik (ARS POLONA-RUCH, 2013)
    Let P and Q be nonzero integers. The sequences of generalized Fibonacci and Lucas numbers are defined by U-0 = 0, U-1 = 1 and Un+1 = PUn - QU(n-1) for n >= 1, and V-0 = 2, V-1 = P and Vn+1 = PVn - QV(n-1) for n >= 1, ...
  • Generalized difference sequence spaces associated with a multiplier sequence on a real n-normed space 
    Konca, Şükran; Başarır, Metin (SPRINGEROPEN, 2013)
    The purpose of this paper is to introduce new sequence spaces associated with a multiplier sequence by using an infinite matrix, an Orlicz function and a generalized B-difference operator on a real n-normed space. Some ...
  • ON SOME INEQUALITIES AND HANKEL MATRICES INVOLVING PELL, PELL-LUCAS NUMBERS 
    Halıcı, Serpil (EDITURA ACAD ROMANE, 2013)
    In [4], the authors defined Toeplitz and Hankel matrices with Pell numbers and gave bounds for the spectral norms of them. In this study, we define Hankel matrices involving the Pell, Pell-Lucas and modified Pell sequences ...
  • On the Existence of Perfect Linear Codes Over Z(2 ') with Respect to Homogenous Metric 
    Şiap, Vedat; Özen, Mehmet (SPRINGER HEIDELBERG, 2013)
    In this paper, we obtain bounds for error correcting codes of some particular homogeneous weights over the ring of integers modulo . We also study these bounds to check for perfect linear codes and have shown the non-existence ...
  • The tanh-coth method for some nonlinear pseudoparabolic equations with exact solutions 
    Gözükızıl, Ömer Faruk (SPRINGEROPEN, 2013)
    We studied mostly important four nonlinear pseudoparabolic physical models: the Benjamin-Bona-Mahony-Peregrine-Burgers (BBMPB) equation, the Oskolkov-Benjamin-Bona-Mahony-Burgers (OBBMB) equation, the one-dimensional ...
  • Codes over Hurwitz integers 
    Güzeltepe, Murat (ELSEVIER SCIENCE BV, 2013)
    In this study, we obtain new classes of linear codes over Hurwitz integers equipped with a new metric. We refer to the metric as the Hurwitz metric. Also, we define decoding algorithms for these codes when up to two ...
  • Some generalized difference statistically convergent sequence spaces in 2-normed space 
    Başarır, Metin; Konca, Şükran (SPRINGEROPEN, 2013)
    In this paper, we define a new generalized difference matrix Bn(m) and introduce some Bn(m)-difference statistically convergent sequence spaces in a real linear 2-normed space. We also investigate some topological properties ...
  • On Complex Fibonacci Quaternions 
    Halıcı, Serpil (SPRINGER BASEL AG, 2013)
    Horadam defined the Fibonacci quaternions and established a few relations for the Fibonacci quaternions. In this paper, we investigate the complex Fibonacci quaternions and give the generating function and Binet formula ...
  • POSITIVE INTEGER SOLUTIONS OF THE DIOPHANTINE EQUATIONS x(2)-5F(n)(xy)-5(-1)(n)y(2) = +/- 5(r) 
    Keskin, Refik; Karaatlı, Olcay (UNIV MISKOLC INST MATH, 2013)
    In this study, we consider the Diophantine equations given in the title and determine when these equations have positive integer solutions. Moreover, we find all positive integer solutions of them in terms of Fibonacci and ...
  • On the quaternionic curves according to parallel transport frame 
    Soyfidan, Tülay; Parlatıcı, Hatice; Güngör, Mehmet Ali (2013)
    In this paper, we have studied parallel transport frame for a quaternionic curve in E3 and E4. Firstly, we have defined a new kind of slant helix with respect to parallel transport frame and given some necessary and ...
  • Some sequence spaces derived by Riesz mean in a real 2-normed space 
    Başarır, Metin (SPRINGER INTERNATIONAL PUBLISHING AG, 2014)
    In the present paper, we introduce some new sequence spaces derived by Riesz mean and the notions of almost and strongly almost convergence in a real 2-normed space. Some topological properties of these spaces are investigated. ...
  • Fibonacci Generalized Quaternions 
    Akyiğit, Mahmut; Kösal, Hidayet Hüda; Tosun, Murat (SPRINGER BASEL AG, 2014)
    In this paper, the Fibonacci generalized quaternions are introduced. We use the well-known identities related to the Fibonacci and Lucas numbers to obtain the relations regarding these quaternions. Furthermore, the Fibonacci ...
  • Commutative Quaternion Matrices 
    Kösal, Hidayet Hüda; Tosun, Murat (SPRINGER BASEL AG, 2014)
    In this study, we introduce the concept of commutative quaternions and commutative quaternion matrices. Firstly, we give some properties of commutative quaternions and their fundamental matrices. After that we investigate ...
  • GENERALIZED FIBONACCI AND LUCAS NUMBERS OF THE FORM wx(2) AND wx(2) 1 
    Keskin, Refik (KOREAN MATHEMATICAL SOC, 2014)
    Let P >= 3 be an integer and let (U-n) and (V-n) denote generalized Fibonacci and Lucas sequences defined by U-0 = 0,U-1 = 1; V-0 = 2,V-1 = P, and Un+1 = PUn Un-1 Vn+1 = PVn - Vn-1 for n >= 1. In this study, when P is odd, ...
  • Positive integer solutions of the diophantine equation x(2)-L(n)xy +(-1)(n)y(2) = +/- 5(r) 
    Keskin, Refik (SPRINGER INDIA, 2014)
    In this paper, we consider the equation x (2)-L (n) x y+(-1) (n) y (2) = +/- 5 (r) and determine the values of n for which the equation has positive integer solutions x and y. Moreover, we give all positive integer solutions ...