Publications & Works

Publication Network
Journal articles indexed in SCI, SSCI, and AHCI

On the 3-parameter generalized quaternions with generalized tribonacci numbers components

İşbilir Z., GÜRSES N., Tosun M.
Filomat , vol.39, no.9, pp.3003-3027, 2025 (SCI-Expanded) identifier

On Vietoris' hybrid number sequence

Gürses N., Saçlı G. Y., Yüce S.
TURKISH JOURNAL OF MATHEMATICS , vol.48, no.4, pp.658-672, 2024 (SCI-Expanded)

Similarity Relations and Exponential of Dual-Generalized Complex Matrices

Gürses N., Şentürk G. Y.
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA, SERIA MATEMATICA , vol.31, no.3, pp.145-165, 2023 (SCI-Expanded)

Bringing Together Dual-Generalized Complex Numbers and Dual Quaternions vıa Fıbonaccı and Lucas Numbers

Gürses N.
UPB SCIENTIFIC BULLETIN, SERIES A: APPLIED MATHEMATICS AND PHYSICS , vol.83, no.3, pp.21-34, 2021 (SCI-Expanded)

Padovan and Perrin Generalized Quaternions

İşbilir Z., Gürses N.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES , pp.1-17, 2021 (SCI-Expanded)

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

Gürses N., Akbiyik M., Yüce S.
ADVANCES IN APPLIED CLIFFORD ALGEBRAS , vol.26, no.1, pp.115-136, 2016 (SCI-Expanded) identifier identifier

One-Parameter Planar Motions in Generalized Complex Number Plane

Gurses N., Yüce S.
ADVANCES IN APPLIED CLIFFORD ALGEBRAS , vol.25, no.4, pp.889-903, 2015 (SCI-Expanded) identifier identifier

Bobillier Formula for One Parameter Motions in the Complex Plane

Ersoy S., Gürses N.
JOURNAL OF MECHANISMS AND ROBOTICS , vol.4, no.2, pp.1, 2012 (SCI-Expanded)
Articles Published in Other Journals

Horadam 3-Parameter Generalized Quaternions

İşbilir Z., Gürses N.
HONAM MATHEMATICAL JOURNAL , vol.46, no.3, pp.407-427, 2024 (ESCI)

An Extended Framework For Bihyperbolic Generalized Tribonacci Numbers

Gürses N., İşbilir Z.
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS , vol.73, no.3, pp.765-786, 2024 (ESCI)

Dual Quaternion Theory over HGC numbers

Şentürk G. Y., Gürses N.
JOURNAL OF DISCRETE MATHEMATICAL SCIENCES AND CRYPTOGRAPHY , vol.27, no.1, pp.117-142, 2024 (ESCI)

Examination of generalized Tribonacci dual quaternions

İşbilir Z., Gürses N.
ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA , vol.23, no.2, pp.235-255, 2023 (ESCI)

Investigating Generalized Quaternions with Dual-Generalized Complex Numbers

Gürses N., Şentürk G. Y., Yüce S.
MATHEMATICA BOHEMICA , vol.148, no.3, pp.329-348, 2023 (ESCI)

Padovan, Perrin and Pell-Padovan Dual Quaternions

İŞBİLİR Z., GÜRSES N.
Turkish Journal of Mathematics and Computer Science , vol.15, no.1, pp.125-144, 2023 (Scopus) identifier identifier

MATRIX THEORY OVER DGC NUMBERS

Gürses N., Şentürk G. Y.
JOURNAL OF SCIENCE AND ARTS , vol.23, no.1, pp.209-228, 2023 (ESCI)

New Insight Into Quaternions and Their Matrices

Şentürk G. Y., Gürses N., Yüce S.
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS , vol.72, no.1, pp.43-58, 2023 (ESCI)

Pentanacci and Pentanacci-Lucas hybrid numbers

Işbilir Z., GÜRSES N.
Journal of Discrete Mathematical Sciences and Cryptography , vol.26, no.2, pp.423-442, 2023 (ESCI) identifier

Hyperbolic Number Forms of the Euler-Savary Equation

Çağlar D., Gürses N.
INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY , vol.15, no.2, pp.343-358, 2022 (ESCI)

Algebraic Construction for Dual Quaternions with GCN

ŞENTÜRK G. Y., GÜRSES N., YÜCE S.
Bitlis Eren Üniversitesi Fen Bilimleri Dergisi , vol.11, no.2, pp.586-593, 2022 (Peer-Reviewed Journal) identifier

On the Combined Jacobsthal-Padovan Generalized Quaternions

Gürses N., İşbilir Z.
Advanced Studies: Euro-Tbilisi Mathematical Journal , vol.15, no.2, pp.55-70, 2022 (ESCI)

A comprehensive survey of dual-generalized complex Fibonacci and Lucas numbers

GÜRSES N., ŞENTÜRK G. Y., YÜCE S.
Sigma Journal of Engineering and Natural Sciences , vol.40, no.1, pp.179-187, 2022 (ESCI) identifier identifier

Construction of dual-generalized complex Fibonacci and Lucas quaternions

ŞENTÜRK G. Y., GÜRSES N., YÜCE S.
Carpathian Mathematical Publications , vol.14, no.2, pp.406-418, 2022 (ESCI) identifier identifier

Pell-Padovan Generalized Quaternions

İşbilir Z., Gürses N.
Notes on Number Theory and Discrete Mathematics , vol.27, no.1, pp.171-187, 2021 (ESCI)

Fundamental properties of extended Horadam numbers

ŞENTÜRK G. Y., GÜRSES N., YÜCE S.
NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS , vol.27, no.4, pp.219-235, 2021 (ESCI) identifier

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

Gürses N., Şentürk G. Y., Yüce S.
GAZI UNIVERSITY JOURNAL OF SCIENCE , vol.34, no.1, pp.180-194, 2021 (ESCI)

IDENTIFYING CANAL SURFACES IN E^4: CHARACTERIZATION OF A SPECIAL CASE

Gürses N.
Journal of Science and Arts , vol.3, pp.647-660, 2020 (ESCI)

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

Gürses N., Yüce S.
DOKUZ EYLÜL ÜNİVERSİTESİ MÜHENDİSLİK FAKÜLTESİ FEN VE MÜHENDİSLİK DERGİSİ , vol.21, no.0, pp.137-148, 2019 (Peer-Reviewed Journal)

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

Akbıyık M., Gürses N., Yüce S.
Konuralp Journal of Mathematics (KJM) , vol.7, no.1, pp.228-232, 2019 (Peer-Reviewed Journal)

Soft Γ-Semirings

Bektaş Ö., Gürses N., Onar S., Ersoy B. A.
Math: Modelling, Application and Theory , vol.3, pp.1-16, 2018 (Peer-Reviewed Journal)

On the Quaternionic Focal Curves

Gürses N., Bektaş Ö., Yüce S.
Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi , vol.21, no.2, pp.357-366, 2017 (Peer-Reviewed Journal)

Quaternionic osculating curves in Euclidean and semi-Euclidean space

Bektaş Ö., Gürses N., Yüce S.
JOURNAL OF DYNAMICAL SYSTEMS AND GEOMETRIC THEORIES , vol.14, no.1, pp.65-84, 2016 (ESCI) identifier

SPECIAL SMARANDACHE CURVES IN R-1(3)

Gürses N., Bektaş Ö., Yüce S.
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS , vol.65, no.2, pp.143-160, 2016 (ESCI) identifier

Galilean Bobillier Formula for One Parameter Planar Motions

Gürses N., Akbıyık M., Yüce S.
International Journal of Mathematical Combinatorics , vol.4, pp.74-83, 2015 (Peer-Reviewed Journal)

One parameter Planar Motions in Affine Cayley Klein Planes

Bayrak Gürses N., Yüce S.
EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS , no.7, pp.335-342, 2014 (ESCI)

Osculating Spheres a Semi Real Quaternionic Curve in E_2^4

Bektaş Ö., Gürses N., Yüce S.
EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS , vol.7, pp.86-96, 2014 (ESCI)

Lorentzian Bobillier Formula

Ersoy S., Bayrak N.
Applied Mathematics E-Notes , vol.13, pp.25-35, 2013 (Scopus) identifier
Papers Presented at Peer-Reviewed Scientific Conferences

Positive Integer Powers of Certain Dual Tridiagonal Matrices

Dursun P., Gürses N.
Izmir Mathematics Days V, İzmir, Turkey, 27 - 29 September 2023, pp.7

Dual-Generalized Complex Matrices

Gürses N., Şentürk G. Y.
11th International Eurasian Conference on Mathematical Sciences and Applications (IECMSA-2022), İstanbul, Turkey, 29 August - 01 September 2022, pp.190-192

A Note on Vietoris' Polynomials

Gürses N., Çağlar D.
19th International Geometry Symposium, Edirne, Turkey, 27 - 30 June 2022, pp.106-107

On Vietoris' Hybrid Number Sequence

Gürses N., Şentürk G. Y., Yüce S.
9th International Congress on Fundamental and Applied (ICFAS2022) Sciences, İstanbul, Turkey, 28 - 30 June 2022, pp.134

Generalized Fifth Order Pell Hybrid Numbers

İşbilir Z., Gürses N.
5th International ONLINE Conference on Mathematical Advances and Applications (ICOMAA 2022), İstanbul, Turkey, 11 - 14 May 2022, pp.185, (Summary Text)

Generalized Fourth Order Pell Hybrid Numbers

İşbilir Z., Gürses N.
INTERNATIONAL CONFERENCE ON LIFE AND ENGINEERING SCIENCES(ICOLES 2021), İstanbul, Turkey, 23 - 25 September 2021, pp.12-13

A Study on the Association of the 3-Primes and Reverse 3-Primes Generalized Quaternions

İşbilir Z., Gürses N.
1st INTERNATIONAL SYMPOSIUM ON RECENT ADVANCES IN FUNDAMENTAL AND APPLIED SCIENCES (ISFAS 2021), Erzurum, Turkey, 10 - 12 September 2021, pp.161

A New Look on Oresme Numbers: Dual-Generalized Complex Component Extension

Şentürk G. Y., Gürses N., Yüce S.
18. Geometry Symposium, Malatya, Turkey, 12 - 13 July 2021, pp.101-103, (Full Text)

Padovan and Perrin Generalized Quaternions

İşbilir Z., Gürses N.
9th INTERNATIONAL EURASIAN CONFERENCE ON MATHEMATICAL SCIENCES AND APPLICATIONS (IECMSA - 2020), Skopje, Macedonia, 25 - 28 August 2020, pp.154-155

New Hyperbolic-Number Forms of the Euler Savary Equation: The Consideration of Future Pointing Timelike Pole Rays for Spacelike Pole Curves

Çağlar D., Gürses N.
International Conference on Mathematics and Its Applications in Science and Engineering (ICMASE2020), Ankara, Turkey, 9 - 10 July 2020, pp.39-41, (Summary Text)

A Comprehensive Survey of Dual Generalized Complex Fibonacci Numbers

Gürses N., Şentürk G. Y., Yüce S.
3nd International E-Conference on Mathematical Advances and Applications (ICOMAA 2020), İstanbul, Turkey, 24 - 27 June 2020, pp.162

A REMARK ON CANAL AND TUBE HYPERSURFACES IN E4

Gürses N.
3. International Congress on Statistics Mathematics and Analytıcal Methods, İstanbul, Turkey, 12 - 13 March 2020, pp.72

Moving Coordinate System and Euler-Savary Formula under OneParameterPlanar Homothetic Motions in Generalized Complex NumberPlane C_j

Gürses N., Yüce S., Akbıyık M.
16th International Geometry Symposium, Manisa, Turkey, 04 July 2018, pp.43-46

ONE-PARAMETER HOMOTHETIC MOTIONS IN GENERALIZED COMPLEX NUMBER PLANE C_J

GÜRSES N., AKBIYIK M., YÜCE S.
Internatıonal Congress On Mathematıcs Statıstıcs And Analytıcal Methods, İstanbul, Turkey, 02 March 2018, pp.22-23

One-Parameter Planar Motions in Generalized Complex Number Plane C_J

GÜRSES N., YÜCE S.
13th Algebraic Hyperstructures and its Applications Conference (AHA2017), 24 - 27 July 2017

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

Akbıyık M., Gürses N., Yüce S.
2nd International Conference on Pure and Applied Sciences, İstanbul, Turkey, 01 June 2016, pp.153

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

Gürses N., Yüce S.
13. Geometri Sempozyumu, İstanbul, Turkey, 27 July 2015, pp.20, (Full Text)

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

Gürses N., Yüce S.
2015 Joint Mathematics Meetings, Texas, United States Of America, 10 January 2015, pp.1

Galilean Bobillier Formula for One Parameter Planar Motions

Gürses N., Akbıyık M., Yüce S.
33nd Colloquim on Combinatorics, Ilmenau, Germany, 07 November 2014, pp.1

One Parameter Planar Motions in Affine Cayley Klein Planes

Gürses N., Yüce S.
33nd Colloquim on Combinatorics, Ilmenau, Germany, 7 - 08 November 2014

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

Bayrak N., YÜCE S., Yüce M. K.
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

BEKTAŞ Ö., GÜRSES N., YÜCE S.
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

GÜRSES N., BEKTAŞ Ö., AKBIYIK M., YÜCE S.
2nd International Conference on Mathematical Sciences and Applications (IECMSA 2013), Saraybosna, Bosnia And Herzegovina, 26 August 2013, pp.275, (Summary Text)

Quaternionic Focal Curves in E^4

GÜRSES N., BEKTAŞ Ö., YÜCE S.
XI. Geometri Sempozyumu, Ordu, Turkey, 01 July 2013, pp.61

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

GÜRSES N., BEKTAŞ Ö., YÜCE S.
International Conference on Applied Analysis and Mathematical Modeling (ICAAMM 2013), İstanbul, Turkey, 02 June 2013, pp.353

Osculating Spheres of Semi Real Quaternionic Curves in E 2 4

BEKTAŞ Ö., GÜRSES N., YÜCE S.
International Conference on Applied Analysis and Mathematical Modeling (ICAAMM 2013), 2 - 05 June 2013

Quaternionic Osculating Curves in E^4

Bektaş Ö., Gürses N., Yüce S.
International Conference on Applied Analysis and Mathematical Modeling (ICAAMM 2013), İstanbul, Turkey, 2 - 05 June 2013, (Summary Text)

Bobillier Formula for One Parameter Motions in the Complex Plane

ERSOY S., BAYRAK N.
1st International Eurasian Conference on Mathematical Sciences and Applications (IECMSA 2012), 3 - 07 September 2012 identifier identifier

Special Smarandache Curves in E 1 3

Bayrak N., Bektaş Ö., Yüce S.
Internatıonal Conference on Applied Analysis and Algebra (ICAAA 2012), İstanbul, Turkey, 20 - 24 June 2012

Lorentzian Bobillier Formula

ERSOY S., BAYRAK N.
VI International Meeting on Lorentzian Geometry, 6 - 09 September 2011
Books

On Extended k–order Fibonacci and Lucas Numbers via DGC Numbers

Gürses N., Saçlı G. Y., Yüce S.
in: New Frontiers in Number Theory and Applications, Jordi Guàrdia,Nicuşor Minculete,Diana Savin,Montserrat Vela,Abdelkader Zekhnini, Editor, Springer, London/Berlin , Zug, pp.155-189, 2024

Genelleştirilmiş Kompleks Matrisler

Gürses N.
in: Sayılar ve Matrisler Teorisi , Prof. Dr. Salim YÜCE, Editor, Pegem A Yayıncılık, Ankara, pp.358-454, 2023

Diğer Düzlemsel Sayı Yapıları

Gürses N.
in: SAYILAR VE GEOMETRİ, Prof. Dr. Salim YÜCE, Editor, Pegem A Yayıncılık, Ankara, pp.262-309, 2020

Genelleştirilmiş Kompleks Sayılar ve Afin Cayley-Klein Düzlemi

Gürses N.
in: SAYILAR VE GEOMETRİ, Prof. Dr. Salim YÜCE, Editor, Pegem A Yayıncılık, Ankara, pp.218-259, 2020
Metrics

Publication

79

Citation (WoS)

58

H-Index (WoS)

5

Citation (Scopus)

32

H-Index (Scopus)

3

Citation (Scholar)

189

H-Index (Scholar)

9

Project

8

Thesis Advisory

2

Open Access

80