Publications & Works

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

Similarity of hybrid numbers

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

Introduction to Hybrid Numbers

ADVANCES IN APPLIED CLIFFORD ALGEBRAS, vol.28, no.1, 2018 (Journal Indexed in SCI) identifier identifier

On exponential of split quaternionic matrices

APPLIED MATHEMATICS AND COMPUTATION, vol.315, pp.468-476, 2017 (Journal Indexed in SCI) identifier identifier

Rotations on a Lightcone in Minkowski 3-Space

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

On Conformal Curves in 2-Dimensional de Sitter Space

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

Generating hyperbolical rotation matrix for a given hyperboloid

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

An Alternative Approach to Elliptical Motion

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

Matrices over Hyperbolic Split Quaternions

FILOMAT, vol.30, no.4, pp.913-920, 2016 (Journal Indexed in SCI) 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 (Journal Indexed in SCI) identifier identifier

The Sub-Parabolic Lines in the Minkowski 3-Space

RESULTS IN MATHEMATICS, vol.67, no.3-4, pp.417-430, 2015 (Journal Indexed in SCI) identifier identifier

Cayley formula in Minkowski space-time

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, vol.12, no.5, 2015 (Journal Indexed in SCI) 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 (Journal Indexed in SCI) 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 (Journal Indexed in SCI) identifier identifier

Backlund transformation for spacelike curves in the Minkowski space-time

KUWAIT JOURNAL OF SCIENCE, vol.41, no.3, pp.63-80, 2014 (Journal Indexed in SCI) identifier identifier

ON THE ROTATION MATRIX IN MINKOWSKI SPACE-TIME

REPORTS ON MATHEMATICAL PHYSICS, vol.74, no.1, pp.27-38, 2014 (Journal Indexed in SCI) identifier identifier

Geometry of Hasimoto Surfaces in Minkowski 3-Space

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

On Complex Split Quaternion Matrices

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

On Eigenvalues of Split Quaternion Matrices

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

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

CHAOS SOLITONS & FRACTALS, vol.42, no.4, pp.2540-2545, 2009 (Journal Indexed in SCI) identifier identifier

The roots of a split quaternion

APPLIED MATHEMATICS LETTERS, vol.22, no.2, pp.258-263, 2009 (Journal Indexed in SCI) 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 (Journal Indexed in SCI) 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 (Refereed Journals of Other Institutions)

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

INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, vol.11, no.2, pp.61-70, 2018 (Journal Indexed in ESCI) 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 (National Refreed University 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 (Journal Indexed in ESCI) identifier

21. Ulusal Antalya Matematik Olimpiyatları Soruları ve Çözümleri

Matematik Dünyası, no.104, pp.94-101, 2016 (Other Refereed National Journals)

On focal surfaces formed by timelike normal rectilinear congruence

COMMUNİCATİONS SERİES A1: MATHEMATİCS AND STATİSTİCS, vol.65, no.2, pp.55-64, 2016 (International Refereed University 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 (Journal Indexed in ESCI) identifier

On reflections and rotations in Minkowski 3-space

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

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

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

Paralel frames of non-lightlike curves

Missouri Journal of Mathematical Sciences, vol.20, pp.127-137, 2008 (International Refereed University Journal) Creative Commons License

Spacelike Darboux curves in Minkowski 3-space

Differential Geometry - Dynamical Systems, vol.9, pp.131-137, 2007 (Refereed Journals of Other Institutions) Creative Commons License

Some Geometric Applications of split Quarternions

proc. 16th Int. conf. jongjeon Math.Soc., vol.16, 2005 (Refereed Journals of Other Institutions) Creative Commons License

Nonlightlike darboux curves in Minkowski n-space

Hadronic Journal Supp., vol.19, no.3, pp.343-351, 2004 (International Refereed University 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 (National Refreed University 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