Multiplicative generalized tube surfaces with multiplicative quaternions algebra

H Ceyhan, Z Özdemir, I Gök - Mathematical Methods in the …, 2024 - Wiley Online Library
Along with other types of calculus, multiplicative calculus brings an entirely new perspective.
Geometry now has a new field as a result of this new understanding. In this study …

[PDF][PDF] Plane kinematics in homothetic multiplicative calculus

H Es - Journal of Universal Mathematics, 2024 - dergipark.org.tr
Journal of Universal Mathematics ISSN-2618-5660 DOI: 10.33773/jum.1408506 PLANE
KINEMATICS IN HOMOTHETIC MULTIPLICATIVE CALCULUS Page 1 Journal of Universal …

A non-newtonian approach to geometric phase through optic fiber via multiplicative quaternions

H Ceyhan, Z Özdemir, SK Nurkan, İ Gürgil - Revista Mexicana de Física, 2024 - rmf.smf.mx
In this paper, we researched magnetic and electromagnetic curves in multiplicative
Euclidean 3-space via multiplicative quaternion algebra. Firstly, we examined the geometric …

Multiplicative hyperbolic split quaternions and generating geometric hyperbolical rotation matrices

Z Özdemir, H Ceyhan - Applied Mathematics and Computation, 2024 - Elsevier
With the help of split quaternions, rotational motion in Lorentz space can be studied. This
rotation corresponds to the rotations on the hyperboloids. The aim of this study is to define …

Multiplicative elliptic quaternions and generating geometric elliptic rotation matrices

H Ceyhan, Z Özdemir - International Journal of Geometric …, 2024 - avesis.ankara.edu.tr
Ellipse motion involving an angle about a vector is referred to as elliptical rotation. The
purpose of this work is to define a new class of elliptic quaternions, elliptic inner product, and …