Publications & Works

Articles Published in Journals That Entered SCI, SSCI and AHCI Indexes

Ruled Surfaces in Minkowski 3-space and Split Quaternion Operators

Aslan S., BEKAR M. , YAYLI Y.
ADVANCES IN APPLIED CLIFFORD ALGEBRAS, vol.31, no.5, 2021 (Journal Indexed in SCI) identifier identifier

Legendre curves and the singularities of ruled surfaces obtained by using rotation minimizing frame

Bekar M. , Hathout F., Yaylı Y.
Ukrainian Mathematical Journal, vol.73, no.5, pp.589-601, 2021 (Journal Indexed in SCI Expanded)

Ruled surfaces constructed by quaternions

Aslan S., BEKAR M. , Yaylı Y.
Journal of Geometry and Physics, vol.161, 2021 (Journal Indexed in SCI) identifier identifier

Hyper-dual split quaternions and rigid body motion

Aslan S., Bekar M. , YAYLI Y.
JOURNAL OF GEOMETRY AND PHYSICS, vol.158, 2020 (Journal Indexed in SCI) identifier identifier

Involutions in split semi-quaternions

Bekar M. , YAYLI Y.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol.41, no.12, pp.4491-4505, 2018 (Journal Indexed in SCI) identifier identifier

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 (Journal Indexed in SCI) identifier identifier

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 (Journal Indexed in SCI) identifier identifier

Lie Algebra of Unit Tangent Bundle

Bekar M. , Yayli Y.
ADVANCES IN APPLIED CLIFFORD ALGEBRAS, vol.27, no.2, pp.965-975, 2017 (Journal Indexed in SCI) identifier identifier

Semi-Euclidean quasi-elliptic planar motion

Bekar M. , Yayli Y.
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, vol.13, no.7, 2016 (Journal Indexed in SCI) identifier identifier

Involutions in Dual Split-Quaternions

Bekar M. , Yayli Y.
ADVANCES IN APPLIED CLIFFORD ALGEBRAS, vol.26, no.2, pp.553-571, 2016 (Journal Indexed in SCI) identifier identifier

Dual Quaternion Involutions and Anti-Involutions

Bekar M. , Yayi Y.
ADVANCES IN APPLIED CLIFFORD ALGEBRAS, vol.23, no.3, pp.577-592, 2013 (Journal Indexed in SCI) identifier identifier

Involutions of Complexified Quaternions and Split Quaternions

Bekar M. , Yayli Y.
ADVANCES IN APPLIED CLIFFORD ALGEBRAS, vol.23, no.2, pp.283-299, 2013 (Journal Indexed in SCI) identifier identifier

Articles Published in Other Journals

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 (Journal Indexed in ESCI) identifier

Slant Helix Curves and Acceleration Centers

Bekar M. , YAYLI Y.
GAZI UNIVERSITY JOURNAL OF SCIENCE, vol.32, no.1, pp.256-271, 2019 (Journal Indexed in ESCI) identifier identifier

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 (Refereed Journals of Other Institutions)

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 (Journal Indexed in ESCI) identifier identifier

Involutions in Quasi-Quaternions

Bekar M. , Yayli Y.
JOURNAL OF ADVANCED PHYSICS, vol.6, no.3, pp.459-463, 2017 (Journal Indexed in ESCI) identifier

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

Bekar M. , Yayli Y.
JOURNAL OF ADVANCED PHYSICS, vol.6, no.1, pp.133-141, 2017 (Journal Indexed in ESCI) identifier

Kinematics of Dual Quaternion Involution Matrices

BEKAR M. , YAYLI Y.
SDU Journal of Science, vol.11, no.2, pp.121-132, 2016 (Other Refereed National Journals)

Dual Quasi Elliptic Planar Motion

BEKAR M.
Mathematical Sciences and Applications E-Notes, vol.4, no.1, pp.136-143, 2016 (Refereed Journals of Other Institutions)

Involution Matrices of Real Quaternions

BEKAR M. , YAYLI Y.
Caspian Journal of Mathematical Sciences, vol.5, no.1, pp.7-16, 2016 (Refereed Journals of Other Institutions)

INVOLUTIONS IN SEMI-QUATERNIONS

Bekar M. , Yayli Y.
JOURNAL OF GEOMETRY AND SYMMETRY IN PHYSICS, vol.41, pp.1-16, 2016 (Journal Indexed in ESCI) identifier identifier

Biquaternions Lie Algebra and Complex Projective Spaces

BEKAR M. , YAYLI Y.
Caspian Journal of Mathematical Sciences, vol.4, no.2, pp.227-240, 2015 (Refereed Journals of Other Institutions)

Refereed Congress / Symposium Publications in Proceedings

Kuaterniyonlar ve İnvolüsyonları

PENBEGÜL H., BEKAR M. , ŞAHAN T.
14. Ankara Matematik Günleri AMG 2019, Turkey, 28 - 29 June 2019

Involutions in Elliptic Quaternion

ES H. , BEKAR M.
2nd International Conference on Mathematical Advances and Applications (ICOMAA - 2019), 3 - 05 May 2019

Involutions in Elliptic Biquaternions

ES H. , BEKAR M.
2nd International Conference on Mathematical Advances and Applications (ICOMAA - 2019), 3 - 05 May 2019

Some Algebraic Properties of Elliptic Biquaternions

BEKAR M. , YAYLI Y.
Internatioanal Conference on Pure and Applied Mathematics (ICPAM - VAN 2018), 11 - 13 September 2018

Legendre Curves and Rectifying Developable Surfaces

BEKAR M. , ES H. , YAYLI Y.
2nd International Scientific and Vocational Studies Congress, 5 - 08 July 2018

Rotation Minimizing Frame and Ruled Surfaces

BEKAR M. , ES H. , YAYLI Y.
2nd International Scientific and Vocational Studies Congress, 5 - 08 July 2018

Screw Motions in Minkowski 3-Space and Dual Split Quaternions

BEKAR M. , YAYLI Y.
2nd International Scientific and Vocational Studies Congress, 5 - 08 July 2018

Singularities of Ruled Surfaces and Legender Curves

BEKAR M. , YAYLI Y.
International Conference on Operators in Morrey-type Spaces and Applications (OMTSA2017), 10 - 13 July 2017

A Study on Complexified Semi-Quaternions

BEKAR M. , YAYLI Y.
International Conference on Operators in Morrey-type Spaces and Applications (OMTSA2017), 10 - 13 July 2017

Legendre Curves and Rotation Minimizing Frames

BEKAR M. , YAYLI Y.
15th International Geometry Symposium, 3 - 06 July 2017

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

BEKAR M. , YAYLI Y.
15th International Geometry Symposium, 3 - 06 July 2017

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

BEKAR M. , YAYLI Y.
15th International Geometry Symposium, 3 - 06 July 2017

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

BEKAR M. , YAYLI Y.
3rd International Intuitionistic Fuzzy Sets and Contemporary Mathematics Conference (IFSCOM2016), 29 August - 01 September 2016

Involution Matrices of 1/4 Quaternions

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

Algebraic Properties of Dual Quasi Quaternions

BEKAR M. , YAYLI Y.
3rd International Intuitionistic Fuzzy Sets and Contemporary Mathematics Conference (IFSCOM2016), 29 August - 01 September 2016

Unit Dual Sphere and Tangent Bundle of Unit 2 Sphere

BEKAR M. , YAYLI Y.
International Congress on Fundamental and Applied Sciences (ICFAS2016), 22 - 26 August 2016

Dual Semi Quaternions and Planar Motions

BEKAR M.
International Congress on Fundamental and Applied Sciences (ICFAS2016), 22 - 26 August 2016

Split Semi Quaternions and Semi Euclidean Planar Motions

BEKAR M. , YAYLI Y.
14th International Geometry Symposium, Turkey, 25 May - 28 June 2016

Dual Split Semi Quaternions and Planar Motions

BEKAR M. , YAYLI Y.
International Conference on Mathematics and Mathematics Education (ICMME-2016), Turkey, 12 - 14 May 2016

Semi Quaternions and Planar Motions

BEKAR M. , YAYLI Y.
International Conference on Natural Science and Engineering (ICNASE’16), Turkey, 19 - 20 March 2016

Semi Kuaterniyonların Diferansiyel Geometrisi

BEKAR M. , YAYLI Y.
XIII. Geometri Sempozyumu, Turkey, 27 - 30 July 2015

Slant Helix Curves and Acceleration Centers in Minkowski 3 Space

BEKAR M. , YAYLI Y.
XII. Geometri Sempozyumu, Turkey, 23 - 26 June 2014

Slant Helix Curves and Acceleration Centers

BEKAR M. , YAYLI Y.
Karatekin Mathematics Days-2014, Turkey, 11 - 13 June 2014

Involutions and Anti Involutions of Quaternion Matrices

BEKAR M. , YAYLI Y.
The 4th International Conference on Matrix Analysis and Applications (ICMAA 2013), Turkey, 2 - 05 July 2013

Dual Quaternions and Screw Motions

BEKAR M. , YAYLI Y.
International Conference on Applied Analysis and Mathematical Modeling (ICAAMM 2013), Turkey, 2 - 05 June 2013

Books & Book Chapters

M E B ORTAÖĞRETİM MATEMATİK 9 Kod Nu 1055

BEKAR M. , TEMEL S.
Gezegen Yayıncılık Mat. Bilg. Kırt. İnş. Mim. Turz. İth. İhr. San. ve Tic. Ltd. Şti, Ankara, 2014