Yazar "Ozturk, Arzu Ozkoc" seçeneğine göre listele

Listeleniyor 1 - 2 / 2
  • Küçük Resim Yok
    Öğe
    MORE SUMMATION FORMULAS ON HYBRINOMIAL SEQUENCE OF VAN DER LAAN
    (Editura Bibliotheca-Bibliotheca Publ House, 2024) Petroudi, Seyyed hossein jafari; Ozturk, Arzu Ozkoc
    & Ouml;zdemir [1] introduced Hybrid numbers as a generalization of complex, hyperbolic and dual numbers. Hybrinomial sequence is the combination of hybrid numbers and polynomial sequence. In this paper we consider special kind of hybrinomial sequence, namely the Van Der Laan hybrinomial sequence. Binet-Like Formula, generating function and exponential generating function of this sequence are shown in this paper. Properties and some summation identities for Van Der Laan polynomial sequence and hybrinomial sequence are represented in this paper. In addition, some interesting summation identities of Van Der Laan hybrid numbers are obtained.
  • Küçük Resim
    Öğe
    SOME PROPERTIES OF BIVATIATE FIBONACCI AND LUCAS QUATERNION POLYNOMIALS
    (Univ Nis, 2020) Ozturk, Arzu Ozkoc; Kaplan, Faruk
    In this work, we introduce bivariate Fibonacci quaternion polynomials and bivariate Lucas quaternion polynomials. We present generating function, Binet formula, matrix representation, binomial formulas and some basic identities for the bivariate Fibonacci and Lucas quaternion polynomial sequences. Moreover we give various kinds of sums for these quaternion polynomials.