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    Öğe
    On hyper-dual vectors and angles with Pell, Pell-Lucas numbers
    (Amer Inst Mathematical Sciences-Aims, 2024) Babadag, Faik; Atasoy, Ali
    In this paper, we introduce two types of hyper-dual numbers with components including Pell and Pell-Lucas numbers. This novel approach facilitates our understanding of hyper-dual numbers and properties of Pell and Pell-Lucas numbers. We also investigate fundamental properties and identities associated with Pell and Pell-Lucas numbers, such as the Binet-like formulas, Vajda-like, Catalan-like, Cassini-like, and d'Ocagne-like identities. Furthermore, we also define hyper-dual vectors by using Pell and Pell-Lucas vectors and discuse hyper-dual angles. This extensionis not only dependent on our understanding of dual numbers, it also highlights the interconnectedness between integer sequences and geometric concepts.
  • Küçük Resim
    Öğe
    A Study on Quaternionic B-2-Slant Helix in Semi-Euclidean 4-Space
    (Rgn Publ, 2016) Babadag, Faik
    In this work, we defined a quaternionic B-2-slant helix in semi-Euclidean space E-2(4). Then we gave Frenet formulae for the quaternionic curve in semi-Euclidean space E-2(4). Also, we investigated some necessary and sufficient conditions for a space curve to be a quaternionic B-2-slant helix according to quaternionic curves in semi-Euclidean space E-2(4).