Prof. MURAT BEKAR

Miskolc Mathematical Notes , vol.25, no.1, pp.79-91, 2024 (SCI-Expanded)

Geometric 3-space and multiplicative quaternions

International Journal of Geometric Methods in Modern Physics , vol.20, no.9, 2023 (SCI-Expanded)

Ruled surfaces corresponding to hyper-dual curves

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS , vol.51, no.1, pp.187-198, 2022 (SCI-Expanded)

Ruled Surfaces in Minkowski 3-space and Split Quaternion Operators

ADVANCES IN APPLIED CLIFFORD ALGEBRAS , vol.31, no.5, 2021 (SCI-Expanded)

Legendre Curves and the Singularities of Ruled Surfaces Obtained by Using Rotation Minimizing Frame

BEKAR M., Hathout F., YAYLI Y.

UKRAINIAN MATHEMATICAL JOURNAL , vol.73, no.5, pp.686-700, 2021 (SCI-Expanded)

Ruled surfaces constructed by quaternions

Aslan S., BEKAR M., Yaylı Y.

Journal of Geometry and Physics , vol.161, 2021 (SCI-Expanded)

Hyper-dual split quaternions and rigid body motion

Aslan S., Bekar M., YAYLI Y.

JOURNAL OF GEOMETRY AND PHYSICS , vol.158, 2020 (SCI-Expanded)

Involutions in split semi-quaternions

Bekar M., YAYLI Y.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES , vol.41, no.12, pp.4491-4505, 2018 (SCI-Expanded)

Ruled surfaces and tangent bundle of unit 2-sphere

Hathout F., Bekar M., Yayli Y.

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS , vol.14, no.10, 2017 (SCI-Expanded)

N-Legendre and N-Slant curves in the unit tangent bundle of surfaces

Hathout F., Bekar M., Yayli Y.

KUWAIT JOURNAL OF SCIENCE , vol.44, no.3, pp.28-33, 2017 (SCI-Expanded)

Lie Algebra of Unit Tangent Bundle

ADVANCES IN APPLIED CLIFFORD ALGEBRAS , vol.27, no.2, pp.965-975, 2017 (SCI-Expanded)

Semi-Euclidean quasi-elliptic planar motion

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS , vol.13, no.7, 2016 (SCI-Expanded)

Involutions in Dual Split-Quaternions

ADVANCES IN APPLIED CLIFFORD ALGEBRAS , vol.26, no.2, pp.553-571, 2016 (SCI-Expanded)

Dual Quaternion Involutions and Anti-Involutions

Bekar M., Yayi Y.

ADVANCES IN APPLIED CLIFFORD ALGEBRAS , vol.23, no.3, pp.577-592, 2013 (SCI-Expanded)

Involutions of Complexified Quaternions and Split Quaternions

ADVANCES IN APPLIED CLIFFORD ALGEBRAS , vol.23, no.2, pp.283-299, 2013 (SCI-Expanded)

Articles Published in Other Journals 14

Singularities of rectifying developable surfaces of Legendre curves on UTS^2

Bekar M., Hathout F., Yaylı Y.

International Journal of Geometry , vol.11, no.4, pp.20-33, 2022 (Peer-Reviewed Journal)

DEVELOPABLE SURFACES GENERATED BY USING MOVING FRAME

BEKAR M., HATHOUT F., YAYLI Y.

JOURNAL OF SCIENCE AND ARTS , vol.22, no.2, pp.26-438, 2022 (ESCI)

Lie Algebra of Unit Tangent Bundle in Minkowski 3-Space

Bekar M.

INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY , vol.12, no.1, pp.1-8, 2019 (ESCI)

Slant Helix Curves and Acceleration Centers

Bekar M., YAYLI Y.

GAZI UNIVERSITY JOURNAL OF SCIENCE , vol.32, no.1, pp.256-271, 2019 (ESCI)

Tangent bundle of pseudo-sphere and ruled surfaces in Minkowski 3-space

BEKAR M., FOUZI H., YAYLI Y.

General Letters in Mathematics , vol.5, no.2, pp.58-70, 2018 (Peer-Reviewed Journal)

N-Legendre and N-slant curves in the unit tangent bundle of Minkowski surfaces

Bekar M., Hathout F., Yayli Y.

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS , vol.11, no.1, 2018 (ESCI)

Involutions in Quasi-Quaternions

JOURNAL OF ADVANCED PHYSICS , vol.6, no.3, pp.459-463, 2017 (Peer-Reviewed Journal)

Slant Helix Curves and Acceleration Centers in Minkowski 3-Space E-1(3)

JOURNAL OF ADVANCED PHYSICS , vol.6, no.1, pp.133-141, 2017 (Peer-Reviewed Journal)

Slant Helix Curves and Acceleration Centers in Minkowski 3 Space

Journal of Advanced Physics , vol.6, no.1, pp.133-141, 2017 (ESCI)

Kinematics of Dual Quaternion Involution Matrices

SDU Journal of Science , vol.11, no.2, pp.121-132, 2016 (Peer-Reviewed Journal)

Dual Quasi Elliptic Planar Motion

BEKAR M.

Mathematical Sciences and Applications E-Notes , vol.4, no.1, pp.136-143, 2016 (Peer-Reviewed Journal)

Involution Matrices of Real Quaternions

Caspian Journal of Mathematical Sciences , vol.5, no.1, pp.7-16, 2016 (Peer-Reviewed Journal)

INVOLUTIONS IN SEMI-QUATERNIONS

JOURNAL OF GEOMETRY AND SYMMETRY IN PHYSICS , vol.41, pp.1-16, 2016 (ESCI)

Biquaternions Lie Algebra and Complex Projective Spaces

Caspian Journal of Mathematical Sciences , vol.4, no.2, pp.227-240, 2015 (Peer-Reviewed Journal)

Papers Presented at Peer-Reviewed Scientific Conferences 25

Kuaterniyonlar ve İnvolüsyonları

PENBEGÜL H., BEKAR M., ŞAHAN T.

14. Ankara Matematik Günleri AMG 2019, Turkey, 28 - 29 June 2019, (Summary Text)

Involutions in Elliptic Quaternion

ES H., BEKAR M.

2nd International Conference on Mathematical Advances and Applications (ICOMAA - 2019), 3 - 05 May 2019, (Summary Text)

Involutions in Elliptic Biquaternions

ES H., BEKAR M.

2nd International Conference on Mathematical Advances and Applications (ICOMAA - 2019), 3 - 05 May 2019, (Summary Text)

Some Algebraic Properties of Elliptic Biquaternions

Internatioanal Conference on Pure and Applied Mathematics (ICPAM - VAN 2018), 11 - 13 September 2018, (Summary Text)

Legendre Curves and Rectifying Developable Surfaces

BEKAR M., ES H., YAYLI Y.

2nd International Scientific and Vocational Studies Congress, 5 - 08 July 2018, (Summary Text)

Rotation Minimizing Frame and Ruled Surfaces

BEKAR M., ES H., YAYLI Y.

2nd International Scientific and Vocational Studies Congress, 5 - 08 July 2018, (Summary Text)

Screw Motions in Minkowski 3-Space and Dual Split Quaternions

2nd International Scientific and Vocational Studies Congress, 5 - 08 July 2018, (Summary Text)

Singularities of Ruled Surfaces and Legender Curves

International Conference on Operators in Morrey-type Spaces and Applications (OMTSA2017), 10 - 13 July 2017, (Summary Text)

A Study on Complexified Semi-Quaternions

International Conference on Operators in Morrey-type Spaces and Applications (OMTSA2017), 10 - 13 July 2017, (Summary Text)

Legendre Curves and Rotation Minimizing Frames

15th International Geometry Symposium, 3 - 06 July 2017, (Summary Text)

Semi-Quaternions and Unit Tangent Bundle of Euclidean 3-Space

15th International Geometry Symposium, 3 - 06 July 2017, (Summary Text)

Split Semi-Quaternions and Unit Tangent Bundle of Minkowski 3-Space

15th International Geometry Symposium, 3 - 06 July 2017, (Summary Text)

Unit Dual Lorentzian Sphere and Tangent Bundle of Lorentzian Unit 2 Sphere

3rd International Intuitionistic Fuzzy Sets and Contemporary Mathematics Conference (IFSCOM2016), 29 August - 01 September 2016, (Summary Text)

Involution Matrices of 1/4 Quaternions

BEKAR M.

3rd International Intuitionistic Fuzzy Sets and Contemporary Mathematics Conference (IFSCOM2016), 29 August - 01 September 2016, (Summary Text)

Algebraic Properties of Dual Quasi Quaternions

3rd International Intuitionistic Fuzzy Sets and Contemporary Mathematics Conference (IFSCOM2016), 29 August - 01 September 2016, (Summary Text)

Unit Dual Sphere and Tangent Bundle of Unit 2 Sphere

International Congress on Fundamental and Applied Sciences (ICFAS2016), 22 - 26 August 2016, (Summary Text)

Dual Semi Quaternions and Planar Motions

BEKAR M.

International Congress on Fundamental and Applied Sciences (ICFAS2016), 22 - 26 August 2016, (Summary Text)

Split Semi Quaternions and Semi Euclidean Planar Motions

14th International Geometry Symposium, Turkey, 25 May - 28 June 2016, (Summary Text)

Dual Split Semi Quaternions and Planar Motions

International Conference on Mathematics and Mathematics Education (ICMME-2016), Turkey, 12 - 14 May 2016, (Summary Text)

Semi Quaternions and Planar Motions

International Conference on Natural Science and Engineering (ICNASE’16), Turkey, 19 - 20 March 2016, (Summary Text)

Semi Kuaterniyonların Diferansiyel Geometrisi

XIII. Geometri Sempozyumu, Turkey, 27 - 30 July 2015, (Summary Text)

Slant Helix Curves and Acceleration Centers in Minkowski 3 Space

XII. Geometri Sempozyumu, Turkey, 23 - 26 June 2014, (Summary Text)

Slant Helix Curves and Acceleration Centers

Karatekin Mathematics Days-2014, Turkey, 11 - 13 June 2014, (Summary Text)

Involutions and Anti Involutions of Quaternion Matrices

The 4th International Conference on Matrix Analysis and Applications (ICMAA 2013), Turkey, 2 - 05 July 2013, (Summary Text)

Dual Quaternions and Screw Motions