Publications & Works

Published journal articles indexed by SCI, SSCI, and AHCI

On geometric interpretations of split quaternions

Mathematical Methods in the Applied Sciences, 2022 (Peer-Reviewed Journal) identifier

Similarity of hybrid numbers

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol.43, no.15, pp.8867-8881, 2020 (Peer-Reviewed Journal) identifier identifier

Real matrix representations of complex split quaternions with applications

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol.43, no.12, pp.7227-7238, 2020 (Peer-Reviewed Journal) identifier identifier

Finding n-th Roots of a 2 x 2 Real Matrix Using De Moivre's Formula

ADVANCES IN APPLIED CLIFFORD ALGEBRAS, vol.29, no.1, 2019 (Peer-Reviewed Journal) identifier identifier

Introduction to Hybrid Numbers

ADVANCES IN APPLIED CLIFFORD ALGEBRAS, vol.28, no.1, 2018 (Peer-Reviewed Journal) identifier identifier

On exponential of split quaternionic matrices

APPLIED MATHEMATICS AND COMPUTATION, vol.315, pp.468-476, 2017 (Peer-Reviewed Journal) identifier identifier

Rotations on a Lightcone in Minkowski 3-Space

ADVANCES IN APPLIED CLIFFORD ALGEBRAS, vol.27, no.3, pp.2841-2853, 2017 (Peer-Reviewed Journal) identifier identifier

On Conformal Curves in 2-Dimensional de Sitter Space

ADVANCES IN APPLIED CLIFFORD ALGEBRAS, vol.26, no.2, pp.757-770, 2016 (Peer-Reviewed Journal) identifier identifier

Generating hyperbolical rotation matrix for a given hyperboloid

LINEAR ALGEBRA AND ITS APPLICATIONS, vol.496, pp.221-245, 2016 (Peer-Reviewed Journal) Creative Commons License identifier identifier

An Alternative Approach to Elliptical Motion

ADVANCES IN APPLIED CLIFFORD ALGEBRAS, vol.26, no.1, pp.279-304, 2016 (Peer-Reviewed Journal) Creative Commons License identifier identifier

Matrices over Hyperbolic Split Quaternions

FILOMAT, vol.30, no.4, pp.913-920, 2016 (Peer-Reviewed Journal) Creative Commons License identifier identifier

Split Quaternion Matrix Representation of Dual Split Quaternions and Their Matrices

ADVANCES IN APPLIED CLIFFORD ALGEBRAS, vol.25, no.4, pp.787-798, 2015 (Peer-Reviewed Journal) identifier identifier

The Sub-Parabolic Lines in the Minkowski 3-Space

RESULTS IN MATHEMATICS, vol.67, no.3-4, pp.417-430, 2015 (Peer-Reviewed Journal) identifier identifier

Cayley formula in Minkowski space-time

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, vol.12, no.5, 2015 (Peer-Reviewed Journal) identifier identifier

SIMILAR AND SELF-SIMILAR CURVES IN MINKOWSKI n-SPACE

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, vol.52, no.6, pp.2071-2093, 2015 (Peer-Reviewed Journal) Creative Commons License identifier identifier

Two-sided linear split quaternionic equations with n unknowns

LINEAR & MULTILINEAR ALGEBRA, vol.63, no.1, pp.97-106, 2015 (Peer-Reviewed Journal) identifier identifier

ON THE ROTATION MATRIX IN MINKOWSKI SPACE-TIME

REPORTS ON MATHEMATICAL PHYSICS, vol.74, no.1, pp.27-38, 2014 (Peer-Reviewed Journal) identifier identifier

Geometry of Hasimoto Surfaces in Minkowski 3-Space

MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY, vol.17, no.1-2, pp.169-181, 2014 (Peer-Reviewed Journal) identifier identifier

On the Eigenvalues and Eigenvectors of a Lorentzian Rotation Matrix by Using Split Quaternions

ADVANCES IN APPLIED CLIFFORD ALGEBRAS, vol.24, no.1, pp.179-192, 2014 (Peer-Reviewed Journal) identifier identifier

On Complex Split Quaternion Matrices

ADVANCES IN APPLIED CLIFFORD ALGEBRAS, vol.23, no.3, pp.625-638, 2013 (Peer-Reviewed Journal) identifier identifier

On Eigenvalues of Split Quaternion Matrices

ADVANCES IN APPLIED CLIFFORD ALGEBRAS, vol.23, no.3, pp.615-623, 2013 (Peer-Reviewed Journal) identifier identifier

Backlund transformation for non-lightlike curves in Minkowski 3-space

CHAOS SOLITONS & FRACTALS, vol.42, no.4, pp.2540-2545, 2009 (Peer-Reviewed Journal) identifier identifier

The roots of a split quaternion

APPLIED MATHEMATICS LETTERS, vol.22, no.2, pp.258-263, 2009 (Peer-Reviewed Journal) Creative Commons License identifier identifier

Rotations with unit timelike quaternions in Minkowski 3-space

JOURNAL OF GEOMETRY AND PHYSICS, vol.56, no.2, pp.322-336, 2006 (Peer-Reviewed Journal) Creative Commons License identifier identifier

Articles Published in Other Journals

Simple, Double and Isoclinic Rotations with a ViableAlgorithm

Mathematical Sciences and Applications E-Notes, 2020 (Peer-Reviewed Journal)

Some Results on p-Shape Curvatures of Non-Lightlike Space Curves

INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, vol.11, no.2, pp.61-70, 2018 (Peer-Reviewed Journal) identifier

On Bäcklund Transformation Between Timelike Curves in Minkowski Space-Time

Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol.22, no.2, pp.1143-1150, 2018 (Peer-Reviewed Journal)

SHAPE CURVATURES OF THE LORENTZIAN PLANE CURVES

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, vol.66, no.2, pp.276-288, 2017 (Peer-Reviewed Journal) identifier

21. Ulusal Antalya Matematik Olimpiyatları Soruları ve Çözümleri

Matematik Dünyası, no.104, pp.94-101, 2016 (Peer-Reviewed Journal)

On focal surfaces formed by timelike normal rectilinear congruence

COMMUNİCATİONS SERİES A1: MATHEMATİCS AND STATİSTİCS, vol.65, no.2, pp.55-64, 2016 (Peer-Reviewed Journal) Creative Commons License

ON FOCAL SURFACES FORMED BY TIMELIKE NORMAL RECTILINEAR CONGRUENCE

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, vol.65, no.2, pp.55-64, 2016 (Peer-Reviewed Journal) identifier

De- Moivre’s and Euler Formulas for Matrices of Split Quaternions

CLIFFORD ANALYSIS, CLIFFORD ALGEBRAS AND THEIR APPLICATIONS, vol.4, pp.223-233, 2015 (Peer-Reviewed Journal) Creative Commons License

On reflections and rotations in Minkowski 3-space

Journal of Geometry Symmetry in Physics, vol.39, pp.1-16, 2015 (Peer-Reviewed Journal) Creative Commons License

Timelike quaternion frame of a non-lightlike curve

Beitrage zur Algebra und Geometrie, vol.49, no.2, pp.325-333, 2008 (Peer-Reviewed Journal) identifier

PARALLEL FRAMES OF NON-LIGHTLIKE CURVES

MISSOURI JOURNAL OF MATHEMATICAL SCIENCES, vol.20, no.2, pp.127-137, 2008 (Peer-Reviewed Journal) identifier identifier

Paralel frames of non-lightlike curves

Missouri Journal of Mathematical Sciences, vol.20, pp.127-137, 2008 (Peer-Reviewed Journal) Creative Commons License

Timelike Quaternion Frames of non-lightlike curves,

Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, vol.49, pp.325-333, 2008 (Peer-Reviewed Journal) Creative Commons License

Spacelike Darboux curves in Minkowski 3-space

Differential Geometry - Dynamical Systems, vol.9, pp.131-137, 2007 (Peer-Reviewed Journal) Creative Commons License

Some Geometric Applications of split Quarternions

proc. 16th Int. conf. jongjeon Math.Soc., vol.16, 2005 (Peer-Reviewed Journal) Creative Commons License

On the focal curvatures of non-lightlike curves in Minkowski (m+1)-space

F. Ü. Fen ve Mühendislik Bilimleri Dergisi, vol.16, no.3, pp.401-409, 2004 (Peer-Reviewed Journal) Creative Commons License

Nonlightlike darboux curves in Minkowski n-space

Hadronic Journal Supp., vol.19, no.3, pp.343-351, 2004 (Peer-Reviewed Journal) Creative Commons License

Refereed Congress / Symposium Publications in Proceedings

Elliptical Motion on a Given Ellipsoid

6th International Eurasian Conference on Mathematical Sciences and Applications (IECMSA-2017), Budapest, Hungary, 15 - 18 August 2017

On the generalised Hyperbolical Rotation Matrices

INTERNATIONAL CONFERENCE ON APPLIED ANALYSIS AND MATHEMATICAL MODELING, İstanbul, Turkey, 3 - 07 July 2017

Elliptic Quaternions and Rotations

INTERNATIONAL CONFERENCE ON MATHEMATICS AND ENGINEERING, İstanbul, Turkey, 10 - 12 May 2017, pp.126

Getting an Hyperbolical Rotation Matrix by Using Householder’s Method in 3-Dimensional Space

14th International Geometry Symposium, Denizli, Turkey, 25 - 28 May 2016, pp.58

Exponential of Split Quaternion Matrices

14th International Geometry Symposium, Denizli, Turkey, 25 - 28 May 2016, pp.64 Creative Commons License

Hasimoto Surfaces in Minkowski 3-Space with Parallel Frame

14th International Geometry Symposium, Denizli, Turkey, 25 - 28 May 2016, pp.60

Rodrigues and Cayley Formulas for Hyperbolical Rotation in 3 dimensional Space

International Conference on Advances in natural and Applied Sciences, Antalya, Turkey, 21 - 23 April 2016, pp.56

On Simple Rotations in Euclidean Four Space

International Conference on Advances in natural and Applied Sciences, Antalya, Turkey, 21 - 23 April 2016, pp.57

Generating Double Rotations in Euclidean Four Space with Applications

International Conference on Advances in natural and Applied Sciences, Antalya, Turkey, 21 - 23 April 2016, pp.55

On Conformal Curves in 2-Dimensional de Sitter Space

3. Ulusal Matematik Sempozyumu, Antalya, Turkey, 7 - 09 September 2015, pp.123 Creative Commons License

De- Moivre's and Euler Formulas for Matrices of Split Quaternions

23. Ulusal Matematik Sempozyumu, Antalya, Turkey, 7 - 09 September 2015, pp.125 Creative Commons License

On Reflections and Cartan-Dieudonné Theorem in Minkowski 3-space

4TH INTERNATIONAL EURASIAN CONFERENCE ON MATHEMATICAL SCIENCES AND APPLICATIONS, Atina, Greece, 31 August - 03 September 2015, pp.300 Creative Commons License

Generating Rotation Matrices in Minkowski Space-time

13. Geometri Sempozyumu, İstanbul, Turkey, 27 - 30 July 2015, pp.92 Creative Commons License

The Similarity Invariants of Non-lightlike Curves in the Minkowski 3-space

The 28th International Conference of The Jangjeon Mathematical Society, Antalya, Turkey, 15 - 19 May 2015, pp.84 Creative Commons License

Matrices Over Hyperbolic Split Quaternions

The 28th International Conference of The Jangjeon Mathematical Society, Antalya, Turkey, 15 - 19 May 2015, pp.85 Creative Commons License

Bäcklund Transformation for Spacelike Curves in E_1'4

2ND INTERNATIONAL EURASIAN CONFERENCE ON MATHEMATICAL SCIENCES AND APPLICATIONS, Sarajeva, Bosnia And Herzegovina, 26 - 29 August 2013, pp.432

On Matrix Representations of Split Quaternions and Complex Split Quaternions

2ND INTERNATIONAL EURASIAN CONFERENCE ON MATHEMATICAL SCIENCES AND APPLICATIONS, Sarajeva, Bosnia And Herzegovina, 26 - 29 August 2013, pp.266 Creative Commons License

Bäcklund Transformation for Spacelike Curves in E_1'4

2ND INTERNATIONAL EURASIAN CONFERENCE ON MATHEMATICAL SCIENCES AND APPLICATIONS, Sarajeva, Bosnia And Herzegovina, 26 - 29 August 2013, pp.432 Creative Commons License

On the Eigenvalues and Eigenvectors of a Lorentzian Rotation Matrix which is Generated by 272 a Timelike Quaternion

2ND INTERNATIONAL EURASIAN CONFERENCE ON MATHEMATICAL SCIENCES AND APPLICATIONS, Sarajeva, Bosnia And Herzegovina, 26 - 29 August 2013, pp.272 Creative Commons License

On Linear Split Quaternionic Equations

The 4th International Conference on Matrix Analysis and Applications, Konya, Turkey, 2 - 05 July 2013, pp.11

Complex Split Quaternion Matrices

10. Geometri Sempozyumu, Balıkesir, Turkey, 13 - 16 June 2012, pp.40

Timelike Quaternions and Lorentzian Rotations

IV. International Geometry Symposium, Zonguldak, Turkey, 17 - 21 July 2006, pp.78

Timelike Quaternions and Lorentzian Rotations

IV. International Geometry Symposium, Zonguldak, Turkey, 17 - 21 July 2006, pp.78

Sines and Cosines laws for hyperbolical triangles ın the unit hyperboloid

II. Geometri Sempozyumu, Sakarya, Turkey, 30 June - 03 July 2004, pp.31

Sines and Cosines laws for hyperbolical triangles ın the unit hyperboloid

II. Geometri Sempozyumu, Sakarya, Turkey, 30 June - 03 July 2004, pp.31

The Focal Curvatures of Spacelike Curve in R1n

1. Geometri Sempozyumu, Elazığ, Turkey, 3 - 04 July 2003, pp.40

Books & Book Chapters

Other Publications