Publications & Works

Published journal articles indexed by SCI, SSCI, and AHCI

On metallic ratio in Z(p)

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol.42, no.16, pp.5535-5550, 2019 (Journal Indexed in SCI) identifier identifier

A study on densities of sets of points and lines

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol.42, no.16, pp.5427-5437, 2019 (Journal Indexed in SCI) identifier identifier

De Moivre's and Euler's Formulas for the Matrices of Octonions

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES, vol.89, no.1, pp.113-127, 2019 (Journal Indexed in SCI) identifier identifier

Dual Quaternions and Dual Quaternionic Curves

FILOMAT, vol.33, no.4, pp.1037-1046, 2019 (Journal Indexed in SCI) Creative Commons License identifier identifier

The areas of the trajectory surface under the Galilean motions in the Galilean space

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, vol.15, no.9, 2018 (Journal Indexed in SCI) identifier identifier

GAUSSIAN DUAL FIBONACCI NUMBERS

UTILITAS MATHEMATICA, vol.106, pp.185-199, 2018 (Journal Indexed in SCI) identifier identifier

A Geometric Aspect of the Two-Parameter Planar Lorentzian Motions

MATHEMATICAL PROBLEMS IN ENGINEERING, vol.2018, 2018 (Journal Indexed in SCI) Creative Commons License identifier identifier

Bertrand Offsets of Ruled Surfaces with Darboux Frame

RESULTS IN MATHEMATICS, vol.72, no.3, pp.1151-1159, 2017 (Journal Indexed in SCI) identifier identifier

A New Approach to Jacobsthal Quaternions

FILOMAT, vol.31, pp.5567-5579, 2017 (Journal Indexed in SCI) identifier identifier

A new approach on electromagnetism with dual number coefficient octonion algebra

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, vol.13, no.9, 2016 (Journal Indexed in SCI) identifier identifier

A New Expression for Higher Order Accelerations and Poles Under the One Parameter Planar Hyperbolic Homothetic Motions

ADVANCES IN APPLIED CLIFFORD ALGEBRAS, vol.26, no.3, pp.1061-1068, 2016 (Journal Indexed in SCI) identifier identifier

A New Aspect of Dual Fibonacci Quaternions

ADVANCES IN APPLIED CLIFFORD ALGEBRAS, vol.26, no.2, pp.873-884, 2016 (Journal Indexed in SCI) identifier identifier

One-Parameter Homothetic Motions and Euler-Savary Formula in Generalized Complex Number Plane C-J

ADVANCES IN APPLIED CLIFFORD ALGEBRAS, vol.26, no.1, pp.115-136, 2016 (Journal Indexed in SCI) identifier identifier

One-Parameter Planar Motions in Generalized Complex Number Plane

ADVANCES IN APPLIED CLIFFORD ALGEBRAS, vol.25, no.4, pp.889-903, 2015 (Journal Indexed in SCI) identifier identifier

Characteristic properties of the ruled surface with Darboux frame in E-3

KUWAIT JOURNAL OF SCIENCE, vol.42, pp.14-33, 2015 (Journal Indexed in SCI) identifier

Dual Plane and Kinematics

CHIANG MAI JOURNAL OF SCIENCE, vol.41, no.2, pp.463-469, 2014 (Journal Indexed in SCI) identifier identifier

On the Octonionic Inclined Curves in the 8-Dimensional Euclidean Space

MATHEMATICAL PROBLEMS IN ENGINEERING, 2014 (Journal Indexed in SCI) Creative Commons License identifier identifier

SPLIT QUATERNION MATRICES

MISKOLC MATHEMATICAL NOTES, vol.13, no.2, pp.223-232, 2012 (Journal Indexed in SCI) Creative Commons License identifier identifier

Erratum to: Holditch theorem and Steiner formula for the planar hyperbolic motions

Advances in Applied Clifford Algebras, vol.21, no.2, 2011 (Journal Indexed in SCI Expanded)

HOLDITCH THEOREM FOR THE CLOSED SPACE CURVES IN LORENTZIAN 3-SPACE

ACTA MATHEMATICA SCIENTIA, vol.31, no.1, pp.172-180, 2011 (Journal Indexed in SCI) identifier identifier

Cauchy Formulas for Enveloping Curves in the Lorentzian Plane and Lorentzian Kinematics

RESULTS IN MATHEMATICS, vol.54, pp.199-206, 2009 (Journal Indexed in SCI) identifier identifier

THE INVOLUTE-EVOLUTE OFFSETS OF RULED SURFACES

IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, vol.33, pp.195-201, 2009 (Journal Indexed in SCI) identifier identifier

Holditch Theorem and Steiner Formula for the Planar Hyperbolic Motions

ADVANCES IN APPLIED CLIFFORD ALGEBRAS, vol.19, no.1, pp.155-160, 2009 (Journal Indexed in SCI) identifier identifier

One-parameter plane hyperbolic motions

ADVANCES IN APPLIED CLIFFORD ALGEBRAS, vol.18, no.2, pp.279-285, 2008 (Journal Indexed in SCI) identifier identifier

Steiner formula and Holditch-Type Theorems for homothetic Lorentzian motions

IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, vol.31, pp.207-212, 2007 (Journal Indexed in SCI) identifier identifier

On the generalizations of the polar inertia momentum of the closed curves obtained kinematically

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, vol.42, no.1, pp.73-78, 2005 (Journal Indexed in SCI) identifier identifier

The generalized Holditch theorem for the homothetic motions on the planar kinematics

CZECHOSLOVAK MATHEMATICAL JOURNAL, vol.54, no.2, pp.337-340, 2004 (Journal Indexed in SCI) identifier identifier

Some Properties of Ruled Surfaces under Homothety in E3

MATHEMATİCAL AND COMPUTATİONAL APPLİCATİONS, vol.7, no.3, pp.235-239, 2002 (Journal Indexed in SCI Expanded)

Articles Published in Other Journals

New Insight Into Quaternions and Their Matrices (accept)

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol.0, 2022 (Journal Indexed in ESCI)

Construction of Dual-Generalized Complex Fibonacci and Lucas Quaternions (in press)

Carpathian Mathematical Publications, vol.0, no.0, 2022 (Journal Indexed in ESCI)

Algebraic Construction for Dual Quaternions with GCN

BİTLİS EREN UNIVERSITY JOURNAL OF SCIENCE, vol.11, no.2, pp.586-593, 2022 (International Refereed University Journal)

Some New Properties of Octonionic Matrices

Sigma Journal of Engineering and Natural Sciences, vol.0, no.0, pp.1, 2022 (Journal Indexed in ESCI)

The Special Curves of Fibonacci and Lucas Curves

International Journal of Maps in Mathematics, vol.0, no.0, pp.1, 2022 (Other Refereed National Journals)

A Comprehensive Survey of Dual-Generalized Complex Fibonacci and Lucas Numbers

Sigma Journal of Engineering and Natural Sciences, vol.40, no.1, pp.179-187, 2022 (Journal Indexed in ESCI)

4-dimensional pseudo-Galilean geometry

Cumhuriyet Science Journal, vol.42, no.4, pp.890-905, 2021 (Refereed Journals of Other Institutions)

Fundamental Properties of Extended Horadam Numbers

Notes on Number Theory and Discrete Mathematics, vol.27, no.4, pp.219-235, 2021 (Journal Indexed in ESCI)

Holditch-Type Theorems for the Polar Moment of Inertia under the 1-Parameter Closed Planar Homothetic Motion

Journal of Science and Arts, vol.55, no.2, pp.329-336, 2021 (Journal Indexed in ESCI)

On The E. Study Maps For The Dual Quaternions

Applied Mathematics E-Notes, vol.21, pp.365-374, 2021 (Journal Indexed in ESCI)

A Study on Dual-Generalized Complex and Hyperbolic-Generalized Complex Numbers

Gazi University Journal of Science, vol.34, no.1, pp.180-194, 2021 (Other Refereed National Journals)

On Fibonacci Vectors

Hagia Sophia Journal of Geometry (HSJG) , vol.2, no.2, pp.12-25, 2020 (Other Refereed National Journals)

Some Notes On Geometry Of Bezier Curves In Euclidean 4-Space

Journal of Engineering Technology and Applied Sciences, vol.5, no.3, pp.93-101, 2020 (Refereed Journals of Other Institutions)

Examination of sets of points and non-null lines under the two-parameter Lorentzian motion

Journal of Science and Arts, vol.51, no.2, pp.369-386, 2020 (Journal Indexed in ESCI)

ON RULED NON-DEGENERATE SURFACES WITH DARBOUX FRAME IN MINKOWSKI 3-SPACE

TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, vol.10, no.2, pp.499-511, 2020 (Journal Indexed in ESCI) identifier identifier

Serret-Frenet formulas for octonionic curves

Boletim da Sociedade Paranaense de Matematica, vol.38, pp.47-62, 2020 (Journal Indexed in ESCI) identifier identifier

Some New Properties of the Real Quaternion Matrices and Matlab Applications

Cumhuriyet Science Journal, 2019 (International Refereed University Journal)

FRENET-SERRET FORMULAS OF q-CURVES

Fundamental Journal of Mathematics and Mathematical Sciences, vol.11, no.2, pp.35-45, 2019 (Refereed Journals of Other Institutions)

Weingarten Map of the Hypersurface in Euclidean 4-Space and its Applications

Hagia Sophia Journal of Geometry, vol.1, no.1, pp.1-8, 2019 (Refereed Journals of Other Institutions)

ON THE EVOLUTE OFFSETS OF RULED SURFACES USING THE DARBOUX FRAME

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, vol.68, no.2, pp.1256-1264, 2019 (Journal Indexed in ESCI) Creative Commons License identifier

On the Moving Coordinate System and Euler-Savary Formula in Affine Cayley-Klein Planes

DOKUZ EYLÜL ÜNİVERSİTESİ MÜHENDİSLİK FAKÜLTESİ FEN VE MÜHENDİSLİK DERGİSİ, vol.21, no.0, pp.137-148, 2019 (International Refereed University Journal)

A Survey on the Base, Rolling and Roulette Curves on Generalized Complex Number Plane C_J

Konuralp Journal of Mathematics (KJM), vol.7, no.1, pp.228-232, 2019 (Refereed Journals of Other Institutions)

How to determine properties of the special curves using real Octonions in Euclidean 8-Space

Mathematical Modelling: Theory and Applications, no.1, 2018 (Refereed Journals of Other Institutions)

On the Dual Hyperbolic Numbers and the Complex Hyperbolic Numbers

Journal of Computer Science & Computational Mathematics, vol.8, no.1, pp.1-6, 2018 (Refereed Journals of Other Institutions)

8-Boyutlu Oktoniyon Uzayında Reel Oktoniyonları Kullanarak Oktoniyonik Rektifiyan, Oskülatör ve Normal Eğrilerin Özelliklerinin Belirlenmesi

Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol.11, no.1, pp.31-46, 2018 (National Refreed University Journal)

A METHOD FOR MANNHEIM OFFSETS OF RULED SURFACES

JOURNAL OF SCIENCE AND ARTS, no.4, pp.827-836, 2018 (Journal Indexed in ESCI) identifier

Some new associated curves of an admissible Frenet curve in 3-dimensional and 4-dimensional Galilean Spaces

Romanian Journal of Mathematics and Computer Science, vol.7, no.2, pp.110-122, 2017 (International Refereed University Journal)

Generalized Dual Pell Quaternions

NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, vol.23, no.4, pp.66-84, 2017 (Journal Indexed in ESCI)

On the Quaternionic Focal Curves

SÜLEYMAN DEMİREL ÜNİVERSİTESİ FEN BİLİMLERİ ENSTİTÜSÜ DERGİSİ, vol.21, no.2, pp.357-366, 2017 (International Refereed University Journal)

Some New Generalizations of the Lucas Sequence

International Journal of Mathematical Combinatorics, pp.36-52, 2017 (Refereed Journals of Other Institutions)

On The Volume Of The Trajectory Surface Under The Galilean Motions In The Galilean Space

APPLIED MATHEMATICS E-NOTES, vol.17, pp.297-306, 2017 (Journal Indexed in ESCI) identifier identifier

Dual Pell Quaternions

JOURNAL OF ULTRA SCIENTIST OF PHYSICAL SCIENCES, vol.28, no.7, pp.328-339, 2016 (Refereed Journals of Other Institutions)

Generalized Dual Fibonacci Quaternions

Applied Mathematics E-Notes, vol.16, pp.276-289, 2016 (Refereed Journals of Other Institutions)

Generalized Dual Fibonacci Sequence

The International Journal of Science&Technoledge, vol.4, no.9, pp.193-200, 2016 (Refereed Journals of Other Institutions)

Quaternionic osculating curves in Euclidean and semi-Euclidean space

JOURNAL OF DYNAMICAL SYSTEMS AND GEOMETRIC THEORIES, vol.14, no.1, pp.65-84, 2016 (Journal Indexed in ESCI) identifier

Euler Savary's Formula On Complex Plane C

Applied Mathematics E-Notes, vol.2016, no.16, pp.65-71, 2016 (International Refereed University Journal)

SPECIAL SMARANDACHE CURVES IN R-1(3)

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, vol.65, no.2, pp.143-160, 2016 (Journal Indexed in ESCI) identifier

Integral Invariants Of Mannheim Offsets Of Ruled Surfaces

APPLIED MATHEMATICS E-NOTES, vol.16, pp.198-209, 2016 (Journal Indexed in ESCI) identifier identifier

The Moving Coordinate System And Euler-Savary's Formula For The One Parameter Motions On Galilean (Isotropic) Plane

International Journal of Mathematical Combinatorics, vol.2, pp.88-105, 2015 (International Refereed University Journal)

Properties of integral invariants of the involute-evolute offsets of ruled surfaces

International Journal of Pure and Applied Mathematics, vol.102, no.4, pp.757-768, 2015 (Refereed Journals of Other Institutions) Creative Commons License identifier

Galilean Bobillier Formula for One Parameter Planar Motions

International Journal of Mathematical Combinatorics, vol.4, pp.74-83, 2015 (Refereed Journals of Other Institutions)

One parameter Planar Motions in Affine Cayley Klein Planes

EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, no.7, pp.335-342, 2014 (Refereed Journals of Other Institutions)

Osculating Spheres a Semi Real Quaternionic Curve in E_2^4

EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, vol.7, pp.86-96, 2014 (Refereed Journals of Other Institutions)

The Investigation of Viewpoint of Academic Staff and Graduate Students in Teaching Geometry in Elemantary School

Procedia -Social And Behavioral Sciences, vol.116, no.21, pp.2115-2119, 2014 (Refereed Journals of Other Institutions)

One-Parameter Planar Motion on the Galilean Plane

International Electronic Journal of Geometry (IEJG), vol.6, no.1, pp.79-88, 2013 (Journal Indexed in ESCI)

Special Involute Evolute Partner D Curves in E 3

European Journal of Pure And Applied Mathematics, pp.20-29, 2013 (Refereed Journals of Other Institutions)

Special Smarandache Curves According to Darboux Frame in E 3

Romanian Journal of Mathematics and Computer Science, pp.48-59, 2013 (Refereed Journals of Other Institutions)

On properties of the dual Quaternions

EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, vol.4, no.2, pp.142-146, 2011 (Refereed Journals of Other Institutions)

High Order Accelerations And Poles Under The One Parameter Planar Homothetic Motions

Acta Universitatis Apulensis, vol.26, pp.113-120, 2011 (Refereed Journals of Other Institutions)

On The Homothety And Connection Preserving Maps

International Journal of Pure and Applied Mathematics, vol.44, no.2, pp.259-263, 2008 (Refereed Journals of Other Institutions)

The Polar Moment Of Inertia Of The Enveloping Curve

Novi Sad Journal of Mathematics, vol.38, pp.1-4, 2008 (Refereed Journals of Other Institutions)

Holditch-Type theorems under the closed planar homothetic motions

ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, vol.21, pp.105-108, 2007 (Refereed Journals of Other Institutions)

The Holditch Sickles for the open Homothetic Motions

Applied Mathematics E-Notes, vol.7, pp.175-178, 2007 (Refereed Journals of Other Institutions)

On the polar moments of inertia of Lorentzian Circles

Journal of Applied Sciences, vol.6, no.2, pp.383-386, 2006 (Refereed Journals of Other Institutions)

On the area of enveloping curves in the Lorentzian Plane

Soochow Journal of Mathematics, vol.32, no.4, pp.533-540, 2006 (Refereed Journals of Other Institutions)

The Steiner formulas for the open planar homothetic Motions

Applied Mathematics E-Notes, vol.6, pp.26-32, 2006 (Refereed Journals of Other Institutions)

On the areas of enveloping of straight lines for planar homothetic motions

International Journal of Scientific Research, vol.15, pp.19-23, 2006 (Refereed Journals of Other Institutions)

On the enveloping curves under Homothetic Motions

International Journal of Applied Mathematics, vol.18, no.3, pp.289-293, 2005 (Refereed Journals of Other Institutions)

A generalization of the Holditch theorem for the planar Homothetic motions

APPLICATIONS OF MATHEMATICS, vol.50, no.2, pp.87-91, 2005 (Refereed Journals of Other Institutions)

Holditch-Type theorems for the planar Lorentzian Motions

International Journal of Pure and Applied Mathematics, vol.17, no.4, pp.467-471, 2004 (Refereed Journals of Other Institutions)

Refereed Congress / Symposium Publications in Proceedings

On Vietoris' Hybrid Number Sequence

9th International Congress on Fundamental and Applied (ICFAS2022) Sciences, İstanbul, Turkey, 28 - 30 June 2022, vol.0

New Horizons on Holditch Theorem

19th International Geometry Symposium, Edirne, Turkey, 27 - 30 June 2022, pp.26

A new approach to generalized cantor set for R2 in fractal geometry

18. Geometry Symposium, Malatya, Turkey, 12 - 13 July 2021, pp.90-91

The Special Curves of Fibonacci and Lucas Curves

18. Geometry Symposium, Malatya, Turkey, 12 - 13 July 2021, pp.76

On Analysis of Dualization and Dual Quaternionization

International Conference on Life, and Engineering Sciences, İstanbul, Turkey, 11 - 13 December 2020, pp.59

A New Approach to Generalized Cantor Set in Fractal Geometry

International Conference on Mathematics and Its Applications in Science and Engineering (ICMASE2020), Ankara, Turkey, 9 - 10 July 2020

Algebraic Structure of n-dimensional Quaternionic Space

International Conference on Mathematics and Its Applications in Science and Engineering (ICMASE2020), Ankara, Turkey, 9 - 10 July 2020

A Comprehensive Survey of Dual Generalized Complex Fibonacci Numbers

3nd International E-Conference on Mathematical Advances and Applications (ICOMAA 2020), İstanbul, Turkey, 24 - 27 June 2020, pp.162

4-BOYUTLU ÖKLİD UZAYINDA ÖTELEME HİPERYÜZEYLERİ

3. International Congress on Statistics Mathematics and Analytıcal Methods, İstanbul, Turkey, 12 - 13 March 2020, vol.0, no.0, pp.79

Algebraic Structures of the Quaternionic Space H^n

32. Ulusal Matematik Sempozyumu, Samsun, Turkey, 31 August - 03 September 2019, pp.43

Minkowski Uzayında Gram-Schmidt Metodu

32. Ulusal Matematik Sempozyumu, Samsun, Turkey, 31 August - 03 September 2019, pp.89

The Theory of Bézier Curves in E^4

International Conference on Pure and Applied Mathematics (ICPAM, VAN), Van, Turkey, 11 September 2018, pp.75

A Study on Mannheim Offsets of Ruled Surfaces

16 th international geometry symposium, Manisa, Turkey, 4 - 07 July 2018

On the Complex Fibonacci 3-vectors

16th International Geometry Symposium, Manisa, Turkey, 04 July 2018, pp.125

Determinant of Dual Quaternion Matrices and Matlab Applications

16th International Geometry Symposium, Manisa, Turkey, 04 July 2018, pp.41

Basic Concepts of Lorentz Space

16th International Geometry Symposium, Manisa, Turkey, 04 July 2018, pp.299

Inverse of Dual Quaternion Matrices and Matlab Applications

16th International Geometry Symposium, Manisa, Turkey, 04 July 2018, pp.40

On the Dual Quaternionic Inclined Curves

XX GEOMETRICAL SEMINAR, Vrnjacka Banja, Serbia And Montenegro, 20 May 2018, pp.19

A Method for the Involute-Evolute Offsets of Ruled Surfaces

International Congress On Mathematics Statistics And Analytical Methods, İstanbul, Turkey, 02 March 2018, pp.49-50

ONE-PARAMETER HOMOTHETIC MOTIONS IN GENERALIZED COMPLEX NUMBER PLANE C_J

Internatıonal Congress On Mathematıcs Statıstıcs And Analytıcal Methods, İstanbul, Turkey, 02 March 2018, pp.22-23

Dual Quaternion Matrices and Matlab Applications

Internatıonal Congress On Mathematıcs Statıstıcs And Analytıcal Methods, İstanbul, Turkey, 02 March 2018, pp.33-34

The Densities of The Sets of (Non) Collinear Points and Intersectıng Lines in the Euclıdean Plane

Internatıonal Congress On Mathematıcs Statıstıcs And Analytıcal Methods, İstanbul, Turkey, 02 March 2018, pp.48

One-Parameter Homothetic Motion on the Galilean Plane

13th Algebraic Hyperstructures and its Applications Conference (AHA2017), İstanbul, Turkey, 24 - 27 July 2017

Dual Quaternions and Dual Quaternionic Curves

11th International Conference on Clifford Algebras and Their Applications in Mathematical Physics (ICCA11), Gent, Belgium, 07 August 2017, pp.25

Euler-Savary's Formula On Dual Plane

13th Algebraic Hyperstructures and its Applications Conference (AHA2017), İstanbul, Turkey, 24 July 2017, pp.1

One-Parameter Planar Motions in Generalized Complex Number Plane C_J

13th Algebraic Hyperstructures and its Applications Conference (AHA2017), 24 - 27 July 2017

On Fibonacci Vectors

15th International Geometry Symposium, Amasya, Turkey, 03 July 2017, pp.205

Properties of the timelike ruled surfaces with Darboux frame in E^3_1

15th International Geometry Symposium, Amasya, Turkey, 03 July 2017, pp.44-45

The spacelike ruled surfaces with Darboux frame in E^3_1

15th International Geometry Symposium, Amasya, Turkey, 03 July 2017, pp.46-47

The volume of the trajectory surface in 3-Dimensional Galilean Space

INTERNATIONAL CONFERENCE ON MATHEMATICS AND ENGINEERING (ICOME), İstanbul, Turkey, 10 May 2017, pp.399

Matrix Representations of Split Octonions and Their Applications

INTERNATIONAL CONFERENCE ON MATHEMATICS AND ENGINEERING (ICOME), İstanbul, Turkey, 10 May 2017, pp.172

ÖKLİD VE ÖKLİD DIŞI DÜZLEMLERDE KİNEMATİK

2. MARMARA MATEMATİK GÜNLERİ, 01 October 2016

A survey on the Base, Rolling and Roulette Curves on Generalized Complex Number Plane C_J

2nd International Conference on Pure and Applied Sciences, İstanbul, Turkey, 01 June 2016, pp.153

Gaussian Dual Fibonacci Numbers

13. Geometri Sempozyumu, İstanbul, Turkey, 27 - 30 July 2015, pp.1

Euler-Savary Formula for One-Parameter Motions in Affine Cayley-Klein Planes

13. Geometri Sempozyumu, İstanbul, Turkey, 27 July 2015, pp.20

Bertrand Offsets of Ruled Surface with Darboux Frame

13. Geometry Sempozyumu, İstanbul, Turkey, 27 - 30 July 2015, pp.111

1 PARAMETER PLANAR MOTIONS

Issyk-Kul International Mathematical Forum, 24 - 27 June 2015

Some Algebraic Properties on n Dimensional Dual Lorentzian Space

Seventh International Conference on Dynamic Systems and Applications & Fifth International Conference on Neural, Paralel, and Scientific Computations, 27 - 30 May 2015

Higher-Order Poles under the One-Parameter Planar Dual Motion

Seventh International Conference on Dynamic Systems and Applications & Fifth International Conference on Neural, Paralel, and Scientific Computations, 01 May 2015

On the Moving Coordinate System and Pole Points in Affine Cayley-Klein Planes

2015 Joint Mathematics Meetings, Texas, United States Of America, 10 January 2015, pp.1

Properties of Integral Invariants of the Ruled Surface with Darboux Frame in E^3

2015 Joint Mathematics Meetings, Texas, San Antonıo, United States Of America, 10 January 2015, pp.502

On The Octonionic Inclined Curves in The 8 Dimensional Euclidean Space

2015 Joint Mathematics Meetings, San-Antonio, United States Of America, 10 - 13 January 2015

Galilean Bobillier Formula for One Parameter Planar Motions

33nd Colloquim on Combinatorics, Ilmenau, Germany, 07 November 2014, pp.1

Real Variable Serret Frenet Formulae Of An Octonion Valued Function

33nd Colloquim on Combinatorics,, Ilmenau, Germany, 7 - 08 November 2014, pp.9

“Characteristic Properties of the Ruled Surface with Darboux Frame in E^3

33nd Colloquim on Combinatorics, Ilmenau, Germany, 7 - 08 November 2014, pp.32

One Parameter Planar Motions in Affine Cayley Klein Planes

33nd Colloquim on Combinatorics, Ilmenau, Germany, 7 - 08 November 2014

A New Expression for Higer Order Accelerations and Poles under the One Parameter Planar Hyperbolic Homothetic Motions

10th International Conference on Clifford Algebras and their Applications in Mathematical Physics, Tartu, Estonia, 4 - 09 August 2014, pp.1

On the Hyperbolic Complex Numbers

38th Annual SIAM Southeastern Atlantic Section Conference, Melbourne, Florida, United States Of America, 29 - 30 March 2014, pp.1

Higher Order Poles under the Inverse One-Parameter Planar Hyperbolic Motions.

38th Annual SIAM Southeastern Atlantic Section Conference at Florida Institute of Technology, Florida, United States Of America, 28 - 30 March 2014, pp.1

On Special Dual Matrices

38th Annual SIAM Southeastern Atlantic Section Conference at Florida Institute of Technology, Florida, United States Of America, 28 - 30 March 2014, pp.1

Dual matrices with Lorentzian matrix multiplication

AMS Sectional Meeting at the University of Tennessee-Knoxville, Tennessee, United States Of America, 21 - 23 March 2014, pp.1

Higher Order Accelerations under the Inverse One-Parameter Planar Hyperbolic Motions

AMS Sectional Meeting at the University of Tennessee-Knoxville, Tennessee, United States Of America, 21 - 23 March 2014, pp.1

The Investigation of the Viewpoint of Academic Staff and Graduate Students in Teaching Geometry in Elementary School

5th World Conference on Educational Sciences (WCES), Rome, Italy, 5 - 08 February 2013, vol.116, pp.2115-2119 identifier

Quaternionic Osculating Curves in Semi Euclidean Space E_2^4

2nd International Conference on Mathematical Sciences and Applications (IECMSA 2013), Saraybosna, Bosnia And Herzegovina, 26 August 2013, pp.281

On the Osculating Spheres of a Dual Quaternionic and Dual Split Quaternionic Curve

2nd International Conference on Mathematical Sciences and Applications (IECMSA 2013), Saraybosna, Bosnia And Herzegovina, 26 August 2013, pp.275

Quaternionic Focal Curves in E^4

XI. Geometri Sempozyumu, Ordu, Turkey, 01 July 2013, pp.61

Special Smarandache Curve According To Darboux Frame in E^3

XI. Geometri Sempozyumu, Ordu, Türkiye, 01 Temmuz 2013, Ordu, Turkey, 1 - 05 July 2013, pp.36

Semi Real Quaternionic Focal Curves in Semi Euclidean Space E_2^4

International Conference on Applied Analysis and Mathematical Modeling (ICAAMM 2013), İstanbul, Turkey, 02 June 2013, pp.353

Some Properties of Lorentzian Matrix Multiplication

International Conference on Applied Analysis and Mathematical Modeling (ICAAMM-2013), İstanbul, Turkey, 02 June 2013, pp.1

Quaternionic Osculating Curves in E^4

International Conference on Applied Analysis and Mathematical Modeling (ICAAMM 2013), İstanbul, Turkey, 2 - 05 June 2013

Osculating Spheres of Semi Real Quaternionic Curves in E 2 4

International Conference on Applied Analysis and Mathematical Modeling (ICAAMM 2013), 2 - 05 June 2013

A Note On Euler Savary s Formula On Galilean Plane

1st International Western Balkans Conference of Mathematical Sciences, Elbasan, Albania, 30 May - 01 June 2013, pp.1

Some Properties on the Dual Hyperbolic Numbers

2013 Lehigh University Geometry and Topology Conference, Bethlehem, Pa, United States Of America, 24 May 2013, pp.1

Higher Order Accelerations and Poles under the One-Parameter Planar Hyperbolic Motions

2013 Lehigh University Geometry and Topology Conference, Pennsylvania, United States Of America, 24 - 26 May 2013, pp.8

Euler Savary s Formula on Galilean Plane

The Algerian-Turkish International days on Mathematics 2012, Annaba, Algeria, 09 October 2012, pp.133

Holditch-Type Theorem for the planar Lorentzian motions

XV. Ulusal Matematik Sempozyumu, Mersin, Turkey, 1 - 05 July 2002, pp.1

On the Moving Coordinate System on Galilean Plane And Pole Lines

International Conference on Applied Analysis and Algebra, İstanbul, Turkey, 02 June 2012, pp.1

A Holditch-Type Theorem for the Polar Moment of Inertia Under the 1-Parameter Closed Planar Homothetic Motion

International Conference on Applied Analysis and Algebra, İstanbul, Turkey, 20 June 2012, pp.194

Special Involute-Evolute Partner D-Curves in E3

International Conference on Applied Analysis and Algebra, İstanbul, Turkey, 20 June 2012, pp.213

Special Smarandache Curves in E 1 3

Internatıonal Conference on Applied Analysis and Algebra (ICAAA 2012), 20 - 24 June 2012

One-Parameter Planar Motion in the Galilean Plane

International Conference on Applied Analysis and Algebra, İstanbul, Turkey, 29 June - 02 July 2011, pp.1

A Generalization of the Polar Moment of Inertia under the 1- Parameter Closed Planar Homothetic Motion and Maple Examples

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High Order Accelerations, Poles under the One-Parameter Planar Homothetic Motions and Their Maple Examples

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On the Polar Moment of Inertia under the 1-Parameter Closed Homothetic Motions in Lorentzian 3-Space

International Congress in Honour of Professor H. M. Srivastava on his 70th Birth Anniversary, Uludag University, Bursa, Turkey, 18 August 2010, pp.1

Holditch Theorem for the closed space curves in Lorentzian 3-space

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HOLDITCH-TYPE THEOREMS FOR THE 1-PARAMETER CLOSED MOTIONS USING LORENTZIAN MAYTRİX MULTIPLACATION

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Holditch-Type Theorems for the Polar Moment Of Inertia in Lorentzian 3-space

VI. Geometri Sempozyumu, Uludağ Üniversitesi, Bursa, Turkey, 04 July 2008, pp.1

3-BOYUTLU ÖKLİD UZAYINDA İZDÜŞÜM EĞRİLERİ İÇİN HOLDITCH TİPİ TEOREMLERİN GENELLEŞTİRİLMELERİ

VI. Geometri Sempozyumu, Uludağ Üniversitesi, Bursa, Türkiye, 04 Temmuz 2008, ss.1, Bursa, Turkey, 4 - 06 July 2008, pp.1

Spacelike Lorentz çemberinin bazı karakterizasyonları

V. Geometri Sempozyum, Sakarya, Turkey, 04 July 2007, pp.1

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Holditch-Type Theorems under Homothetic Motions

III. Geometri Sempozyumu, Eskişehir, Turkey, 04 July 2005, pp.1

The Steiner Formula for the open planar Homothetic motions.

II. Geometri Sempozyumu, Sakarya, Turkey, 1 - 05 August 2004, pp.1

A generalization of the Holditch theorem for the planar Homothetic motions.

I. Geometri Sempozyumu, Elazığ, Turkey, 1 - 05 July 2003, pp.1

The generalized Holditch theorem for the homothetic motions on the planar kinematics

XV. Ulusal Matematik Sempozyumu, Mersin, Turkey, 1 - 05 August 2002, pp.1

A Formula for Higher-Order Accelerations under the One-Parameter Planar Dual Inverse Motion

Seventh International Conference on Dynamic Systems and Applications & Fifth International Conference on Neural, Paralel, and Scientific Computations, Georgia, United States Of America, 27 - 30 May 2015, pp.1

Lorentz Uzayında Homoteti ve Konneksiyon Koruyan Dönüşümler

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Books & Book Chapters

LİNEER CEBİR, 4. Baskı

Pegem A Yayıncılık, Ankara, 2021

ANALİTİK GEOMETRİ, 6. Baskı

Pegem Akademi Yayıncılık, 6. Baskı, Ankara, 2021

MATEMATİKSEL AKIL YÜRÜTME VE İSPAT

YILDIZ TEKNİK ÜNİVERSİTESİ, İstanbul, 2020

SAYILAR VE GEOMETRİ

Pegem A Yayıncılık, Ankara, 2020

..

in: Elementary Linear Algebra with Applications 9 Edition, Akın Ö., Editor, Palme Yayın Dağıtım, Ankara, pp.300-310, 2010

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