Yazar "Kürüz, Ferhat" seçeneğine göre listele

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    Matrices With Hyperbolic Number Entries
    (Matematikçiler Derneği, 2022) Kürüz, Ferhat; Dağdeviren, Ali
    In this study, firstly, we will present some properties of hyperbolic numbers. Then, we will introduce hyperbolic matrices, which are matrices with hyperbolic number entries. Additionally, we will examine the algebraic properties of these matrices and reveal its difference from other matrix structures such as real, dual, and complex matrices. As a result of comparing the results found in this work with real, dual, and complex matrices, it will be revealed that there are similarities in additive properties and differences in some multiplicative properties. Finally, we will define some special hyperbolic matrices and give their properties and relations with real matrices.
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    On Leonardo Pisano Hybrinomials
    (MDPI, ST ALBAN-ANLAGE 66, CH-4052 BASEL, SWITZERLAND, 2021) Kürüz, Ferhat; Dağdeviren, Ali; Catarino, Paula
    A generalization of complex, dual, and hyperbolic numbers has recently been defined as hybrid numbers. In this study, using the Leonardo Pisano numbers and hybrid numbers we investigate Leonardo Pisano polynomials and hybrinomials. Furthermore, we also describe the basic algebraic properties and some identities of the Leonardo Pisano polynomials and hybrinomials.
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    Special Real and Dual Matrices With Hadamard Product
    (Muhammet Kurulay, 2021) Dağdeviren, Ali; Kürüz, Ferhat
    In this paper, firstly we will present basic properties of Hadamard matrix product and Dual matrices to built necessary background. Then we will define special real and dual matrices under this matrix product. Finally, some theorems regarding this matrix product will be given.