Publications

2025

  1. Proc. Nat. Acad. Sci. India A
    Hybrid number triplets and a new polar representation for hybrid numbers
    B. Koçay, O.O. Tuncer, İ. Gök, and Y. Yaylı
    Proc. Nat. Acad. Sci. India A, 95, 2025
  2. Math. Meth. Appl. Sci.
    Kinematics of persistent rigid motions traced by adapted frames along null Cartan curves
    O.O. Tuncer
    Math. Meth. Appl. Sci., 48, 2025
  3. Rocky Mt. J. Math.
    The negative degree q-Bernstein bases and the multirational q-blossom
    O.O. Tuncer, P. Simeonov, and R. Goldman
    Rocky Mt. J. Math., 55, 2025
  4. J. Phys. A: Math. Theor.
    Superintegrability in the interaction of two particles with spin
    O.O. Tuncer and İ. Yurduşen
    J. Phys. A: Math. Theor., 58:245201, 2025

2024

  1. Acta Math. Sinica Eng. Series
    Null surfaces of pseudo-spherical spacelike framed curves in the anti-de Sitter 3-space
    O.O. Tuncer
    Acta Math. Sinica Eng. Series, 40, 2024
  2. J. Geom.
    Pedal curves of hyperbolic frontals and their singularities
    O.O. Tuncer and İ. Gök
    J. Geom., 115:37, 2024
  3. Int. Electron. J. Geom.
    Framed Bertrand and Mannheim curves in three-dimensional space forms of non-zero constant curvatures
    O.O. Tuncer
    Int. Electron. J. Geom., 17, 2024
  4. Diff. Geom. Appl.
    Singularities of focal sets of pseudo-spherical framed immersions in the three-dimensional anti-de Sitter space
    O.O. Tuncer
    Diff. Geom. Appl., 96:102175, 2024
  5. Filomat
    Basic hypergeometric formulas and identities for negative degree q-Bernstein bases
    O.O. Tuncer, P. Simeonov, and R. Goldman
    Filomat, 38, 2024

2023

  1. Comput. Aided Geom. Des.
    On the uniqueness of the multirational blossom
    O.O. Tuncer, P. Simeonov, and R. Goldman
    Comput. Aided Geom. Des., 107:102252, 2023
  2. Math. Meth. Appl. Sci.
    On (contra)pedals and (anti)orthotomics of frontals in de Sitter 2-space
    Y. Li and O.O. Tuncer
    Math. Meth. Appl. Sci., 46, 2023
  3. Eur. Phys. J. Plus
    Hyperbolic caustics of light rays reflected by hyperbolic front mirrors
    O.O. Tuncer and İ. Gök
    Eur. Phys. J. Plus, 138:266, 2023

2022

  1. Comput. Phys. Commun.
    Symmetrization of the product of Hermitian operators
    İ. Yurduşen and O.O. Tuncer
    Comput. Phys. Commun., 274:108341, 2022
  2. Math. Meth. Appl. Sci.
    Generalized tubes in pseudo-Galilean 3-space: Split semi quaternionic representations and an application to magnetic flux tubes
    O.O. Tuncer
    Math. Meth. Appl. Sci., 45, 2022

2021

  1. Eur. Phys. J. Plus
    Kinematic equations of magnetic flux tubes based on split quaternion algebra
    Z. Özdemir, O.O. Tuncer, and İ. Gök
    Eur. Phys. J. Plus, 136:910, 2021
  2. J. Phys. A: Math. Theor.
    Superintegrable systems with spin and second-order tensor and pseudo-tensor integrals of motion
    İ. Yurduşen, O.O. Tuncer, and P. Winternitz
    J. Phys. A: Math. Theor., 54:305201, 2021

2019

  1. Asian-Eur. J. Math.
    The construction of circular surfaces with quaternions
    Z. Çanakcı, O.O. Tuncer, İ. Gök, and Y. Yaylı
    Asian-Eur. J. Math., 12:1950091, 2019

2018

  1. Adv. Appl. Clifford Algebras
    Circular Surfaces with Split Quaternionic Representations in Minkowski 3-space
    O.O. Tuncer, Z. Çanakcı, İ. Gök, and Y. Yaylı
    Adv. Appl. Clifford Algebras, 28:63, 2018
  2. Math. Meth. Appl. Sci.
    Notes on pedal and contrapedal curves of fronts in the Euclidean plane
    O.O. Tuncer, H. Ceyhan, İ. Gök, and F.N. Ekmekci
    Math. Meth. Appl. Sci., 41, 2018
  3. An. Şt. Univ. Ovidius Constanta
    Some new types of associated curves in Euclidean 3-space
    S. Özdoğan, O.O. Tuncer, İ. Gök, and Y. Yaylı
    An. Şt. Univ. Ovidius Constanta, 26, 2018

2017

  1. Adv. Appl. Clifford Algebras
    A New Representation of Canal Surfaces with Split Quaternions in Minkowski 3-Space
    E. Kocakuşaklı, O.O. Tuncer, İ. Gök, and Y. Yaylı
    Adv. Appl. Clifford Algebras, 27, 2017