Journal articles indexed in SCI, SSCI, and AHCI
On Vietoris' hybrid number sequence
TURKISH JOURNAL OF MATHEMATICS
, vol.48, no.4, pp.658-672, 2024 (SCI-Expanded)
Similarity Relations and Exponential of Dual-Generalized Complex Matrices
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
UPB SCIENTIFIC BULLETIN, SERIES A: APPLIED MATHEMATICS AND PHYSICS
, vol.83, no.3, pp.21-34, 2021 (SCI-Expanded)
Bobillier Formula for One Parameter Motions in the Complex Plane
JOURNAL OF MECHANISMS AND ROBOTICS
, vol.4, no.2, pp.1, 2012 (SCI-Expanded)
Articles Published in Other Journals
Horadam 3-Parameter Generalized Quaternions
HONAM MATHEMATICAL JOURNAL
, vol.46, no.3, pp.407-427, 2024 (ESCI)
Dual Quaternion Theory over HGC numbers
JOURNAL OF DISCRETE MATHEMATICAL SCIENCES AND CRYPTOGRAPHY
, vol.27, no.1, pp.117-142, 2024 (ESCI)
Examination of generalized Tribonacci dual quaternions
ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA
, vol.23, no.2, pp.235-255, 2023 (ESCI)
Investigating Generalized Quaternions with Dual-Generalized Complex Numbers
MATHEMATICA BOHEMICA
, vol.148, no.3, pp.329-348, 2023 (ESCI)
MATRIX THEORY OVER DGC NUMBERS
JOURNAL OF SCIENCE AND ARTS
, vol.23, no.1, pp.209-228, 2023 (ESCI)
New Insight Into Quaternions and Their Matrices
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
, vol.72, no.1, pp.43-58, 2023 (ESCI)
Algebraic Construction for Dual Quaternions with GCN
Bitlis Eren Üniversitesi Fen Bilimleri Dergisi
, vol.11, no.2, pp.586-593, 2022 (Peer-Reviewed Journal)

On the Combined Jacobsthal-Padovan Generalized Quaternions
Advanced Studies: Euro-Tbilisi Mathematical Journal
, vol.15, no.2, pp.55-70, 2022 (ESCI)
Pell-Padovan Generalized Quaternions
Notes on Number Theory and Discrete Mathematics
, vol.27, no.1, pp.171-187, 2021 (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 (ESCI)
IDENTIFYING CANAL SURFACES IN E^4: CHARACTERIZATION OF A SPECIAL CASE
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
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
Konuralp Journal of Mathematics (KJM)
, vol.7, no.1, pp.228-232, 2019 (Peer-Reviewed Journal)
Soft Γ-Semirings
Math: Modelling, Application and Theory
, vol.3, pp.1-16, 2018 (Peer-Reviewed Journal)
On the Quaternionic Focal Curves
Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi
, vol.21, no.2, pp.357-366, 2017 (Peer-Reviewed 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 (ESCI)

Galilean Bobillier Formula for One Parameter Planar Motions
International Journal of Mathematical Combinatorics
, vol.4, pp.74-83, 2015 (Peer-Reviewed Journal)
One parameter Planar Motions in Affine Cayley Klein Planes
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
EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS
, vol.7, pp.86-96, 2014 (ESCI)
Papers Presented at Peer-Reviewed Scientific Conferences
On Vietoris' Hybrid Number Sequence
9th International Congress on Fundamental and Applied (ICFAS2022) Sciences, İstanbul, Turkey, 28 - 30 June 2022, pp.134
Generalized Fourth Order Pell Hybrid Numbers
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
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
18. Geometry Symposium, Malatya, Turkey, 12 - 13 July 2021, pp.101-103, (Full Text)
Padovan and Perrin Generalized Quaternions
9th INTERNATIONAL EURASIAN CONFERENCE ON MATHEMATICAL SCIENCES AND APPLICATIONS (IECMSA - 2020), Skopje, Macedonia, 25 - 28 August 2020, pp.154-155
Moving Coordinate System and Euler-Savary Formula under OneParameterPlanar Homothetic Motions in Generalized Complex NumberPlane C_j
16th International Geometry Symposium, Manisa, Turkey, 04 July 2018, pp.43-46
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
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
Galilean Bobillier Formula for One Parameter Planar Motions
33nd Colloquim on Combinatorics, Ilmenau, Germany, 07 November 2014, pp.1
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, (Summary Text)
Books
On Extended k–order Fibonacci and Lucas Numbers via DGC Numbers
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