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Author ID: ozkan.engin Recent zbMATH articles by "Özkan, Engin"
Published as: Özkan, Engin; Özkan, E.; ŏzkan, Engin
Documents Indexed: 50 Publications since 1994, including 1 Book and 2 Additional arXiv Preprints
Co-Authors: 28 Co-Authors with 39 Joint Publications
373 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

32 Publications have been cited 149 times in 66 Documents Cited by Year
On Gauss Fibonacci polynomials, on Gauss Lucas polynomials and their applications. Zbl 1491.11022
Özkan, Engin; Taştan, Merve
14
2020
Generalized Lucas polynomials and relationships between the Fibonacci polynomials and Lucas polynomials. Zbl 1457.11019
Özkan, Engin; Altun, İpek
13
2019
New recurrences on Pell numbers, Pell-Lucas numbers, Jacobsthal numbers, and Jacobsthal-Lucas numbers. Zbl 1489.11025
Çelik, Songül; Durukan, İnan; Özkan, Engin
12
2021
3-step Fibonacci series modulo \(m\). Zbl 1041.11012
Özkan, Engin; Aydın, Hüseyin; Dikici, Ramazan
11
2003
Catalan transform of the \(k\)-Jacobsthal sequence. Zbl 1463.11051
Taştan, Merve; Özkan, Engin
11
2020
On truncated Fibonacci sequences. Zbl 1144.11016
Özkan, Engin
9
2007
Truncated Lucas sequence and its period. Zbl 1410.11008
Özkan, Engin
9
2014
3-step Fibonacci sequences in nilpotent groups. Zbl 1073.11504
Özkan, Engin
8
2003
On the new Narayana polynomials, the Gauss Narayana numbers and their polynomials. Zbl 1484.11051
Özkan, Engin; Kuloğlu, Bahar
8
2021
An application of Fibonacci sequences in groups. Zbl 1018.11007
Dikici, Ramazan; Özkan, Engin
7
2003
On a Jacobsthal-like sequence associated with \(k\)-Jacobsthal-Lucas sequence. Zbl 1504.11034
Özkan, E.; Kuloǧlu, B.
7
2020
On a new family of Gauss \(k\)-Lucas numbers and their polynomials. Zbl 1484.11052
Özkan, Engin; Taştan, Merve
6
2021
On the Gauss \(k\)-Fibonacci polynomials. Zbl 1463.11052
Taştan, Merve; Özkan, Engin
5
2021
A method for computing unsteady flows in porous media. Zbl 0829.76004
Raghavan, R.; Ozkan, E.
4
1994
K-Narayana sequence self-similarity. Flip graph views of k-Narayana self-similarity. Zbl 1498.11056
Özkan, Engin; Kuloǧlu, Bahar; Peters, James F.
4
2021
Catalan transform of the incomplete Jacobsthal numbers and incomplete generalized Jacobsthal polynomials. Zbl 1491.11023
Özkan, Engin; Uysal, Mine; Kuloğlu, Bahar
3
2022
Mersenne-Lucas hybrid numbers. Zbl 1499.11071
Özkan, Engin; Uysal, Mine
3
2021
Applications of Fibonacci sequences in a finite nilpotent group. Zbl 1040.11011
Özkan, Engin; Aydın, Hüseyin; Dikici, Ramazan
2
2003
General recurrences in modular groups. Zbl 1221.11037
Dikici, Ramazan; Özkan, Engin
2
1998
Some properties of \(k\)-generalized Fibonacci numbers. Zbl 1485.11039
Yilmaz, N.; Aydoğdu, A.; Özkan, E.
2
2021
A new sequence realizing Lucas numbers, and the Lucas bound. Zbl 1371.11042
Özkan, E.; Geçer, A.; Altun, İ.
2
2017
On the new families of \(k\)-Pell numbers and \(k\)-Pell-Lucas numbers and their polynomials. Zbl 1471.11075
Özkan, Engin; Taştan, Merve; Aktaş, Aysun
2
2021
Fibonacci sequences in nilpotent groups with class \(n\). Zbl 1160.11309
Özkan, Engin
1
2004
Hyperbolic \(k\)-Jacobsthal and \(k\)-Jacobsthal-Lucas quaternions. Zbl 1505.11030
Özkan, Engin; Uysal, Mine; Godase, A. D.
1
2022
A new family of Horadam numbers. Zbl 1513.11066
Yilmaz, Nazmiye; Taştan, Merve; Özkan, Engin
1
2022
On new polynomial sequences constructed to each vertex in an \(n\)-gon. Zbl 1490.11023
Ganie, Abdul Hamid; ŏzkan, Engin; Uysal, Mine; Akhter, Afroza
1
2022
On \(F_3(k,n)\)-numbers of the Fibonacci type. Zbl 1476.11033
Özkan, Engin; Yilmaz, Nur Şeyma; Włoch, Andrzej
1
2021
On general Fibonacci sequences in groups. Zbl 1129.11305
Özkan, Engin
1
2003
On the bicomplex Gaussian Fibonacci and Gaussian Lucas numbers. Zbl 1503.11037
Kuloğlu, Bahar; Özkan, Engin
1
2022
\(d\)-Gaussian Pell polynomials and their matrix representation. Zbl 1533.11049
Özkan, Engin; Uysal, Mine
1
2023
The Narayana sequence in finite groups. Zbl 1517.11017
Kuloğlu, Bahar; Özkan, Engin; Shannon, Anthony G.
1
2022
Applications of Jacobsthal and Jacobsthal-Lucas numbers in coding theory. Zbl 07774150
Kuloğlu, Bahar; Özkan, Engin
1
2023
\(d\)-Gaussian Pell polynomials and their matrix representation. Zbl 1533.11049
Özkan, Engin; Uysal, Mine
1
2023
Applications of Jacobsthal and Jacobsthal-Lucas numbers in coding theory. Zbl 07774150
Kuloğlu, Bahar; Özkan, Engin
1
2023
Catalan transform of the incomplete Jacobsthal numbers and incomplete generalized Jacobsthal polynomials. Zbl 1491.11023
Özkan, Engin; Uysal, Mine; Kuloğlu, Bahar
3
2022
Hyperbolic \(k\)-Jacobsthal and \(k\)-Jacobsthal-Lucas quaternions. Zbl 1505.11030
Özkan, Engin; Uysal, Mine; Godase, A. D.
1
2022
A new family of Horadam numbers. Zbl 1513.11066
Yilmaz, Nazmiye; Taştan, Merve; Özkan, Engin
1
2022
On new polynomial sequences constructed to each vertex in an \(n\)-gon. Zbl 1490.11023
Ganie, Abdul Hamid; ŏzkan, Engin; Uysal, Mine; Akhter, Afroza
1
2022
On the bicomplex Gaussian Fibonacci and Gaussian Lucas numbers. Zbl 1503.11037
Kuloğlu, Bahar; Özkan, Engin
1
2022
The Narayana sequence in finite groups. Zbl 1517.11017
Kuloğlu, Bahar; Özkan, Engin; Shannon, Anthony G.
1
2022
New recurrences on Pell numbers, Pell-Lucas numbers, Jacobsthal numbers, and Jacobsthal-Lucas numbers. Zbl 1489.11025
Çelik, Songül; Durukan, İnan; Özkan, Engin
12
2021
On the new Narayana polynomials, the Gauss Narayana numbers and their polynomials. Zbl 1484.11051
Özkan, Engin; Kuloğlu, Bahar
8
2021
On a new family of Gauss \(k\)-Lucas numbers and their polynomials. Zbl 1484.11052
Özkan, Engin; Taştan, Merve
6
2021
On the Gauss \(k\)-Fibonacci polynomials. Zbl 1463.11052
Taştan, Merve; Özkan, Engin
5
2021
K-Narayana sequence self-similarity. Flip graph views of k-Narayana self-similarity. Zbl 1498.11056
Özkan, Engin; Kuloǧlu, Bahar; Peters, James F.
4
2021
Mersenne-Lucas hybrid numbers. Zbl 1499.11071
Özkan, Engin; Uysal, Mine
3
2021
Some properties of \(k\)-generalized Fibonacci numbers. Zbl 1485.11039
Yilmaz, N.; Aydoğdu, A.; Özkan, E.
2
2021
On the new families of \(k\)-Pell numbers and \(k\)-Pell-Lucas numbers and their polynomials. Zbl 1471.11075
Özkan, Engin; Taştan, Merve; Aktaş, Aysun
2
2021
On \(F_3(k,n)\)-numbers of the Fibonacci type. Zbl 1476.11033
Özkan, Engin; Yilmaz, Nur Şeyma; Włoch, Andrzej
1
2021
On Gauss Fibonacci polynomials, on Gauss Lucas polynomials and their applications. Zbl 1491.11022
Özkan, Engin; Taştan, Merve
14
2020
Catalan transform of the \(k\)-Jacobsthal sequence. Zbl 1463.11051
Taştan, Merve; Özkan, Engin
11
2020
On a Jacobsthal-like sequence associated with \(k\)-Jacobsthal-Lucas sequence. Zbl 1504.11034
Özkan, E.; Kuloǧlu, B.
7
2020
Generalized Lucas polynomials and relationships between the Fibonacci polynomials and Lucas polynomials. Zbl 1457.11019
Özkan, Engin; Altun, İpek
13
2019
A new sequence realizing Lucas numbers, and the Lucas bound. Zbl 1371.11042
Özkan, E.; Geçer, A.; Altun, İ.
2
2017
Truncated Lucas sequence and its period. Zbl 1410.11008
Özkan, Engin
9
2014
On truncated Fibonacci sequences. Zbl 1144.11016
Özkan, Engin
9
2007
Fibonacci sequences in nilpotent groups with class \(n\). Zbl 1160.11309
Özkan, Engin
1
2004
3-step Fibonacci series modulo \(m\). Zbl 1041.11012
Özkan, Engin; Aydın, Hüseyin; Dikici, Ramazan
11
2003
3-step Fibonacci sequences in nilpotent groups. Zbl 1073.11504
Özkan, Engin
8
2003
An application of Fibonacci sequences in groups. Zbl 1018.11007
Dikici, Ramazan; Özkan, Engin
7
2003
Applications of Fibonacci sequences in a finite nilpotent group. Zbl 1040.11011
Özkan, Engin; Aydın, Hüseyin; Dikici, Ramazan
2
2003
On general Fibonacci sequences in groups. Zbl 1129.11305
Özkan, Engin
1
2003
General recurrences in modular groups. Zbl 1221.11037
Dikici, Ramazan; Özkan, Engin
2
1998
A method for computing unsteady flows in porous media. Zbl 0829.76004
Raghavan, R.; Ozkan, E.
4
1994
all top 5

Cited in 38 Serials

7 Asian-European Journal of Mathematics
4 Communications in Algebra
4 Discrete Dynamics in Nature and Society
3 Chaos, Solitons and Fractals
3 Applied Mathematics and Computation
3 Mathematica Moravica
3 Journal of Mahani Mathematical Research Center
2 International Journal of Mathematics and Mathematical Sciences
2 Mathematica Slovaca
2 The Journal of Analysis
2 Boletín de la Sociedad Matemática Mexicana. Third Series
2 Annales Mathematicae Silesianae
2 Electronic Journal of Mathematical Analysis and Applications EJMAA
2 Open Mathematics
1 Indian Journal of Pure & Applied Mathematics
1 Mathematical Notes
1 Ukrainian Mathematical Journal
1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica
1 Mathematical and Computer Modelling
1 Applied Mathematical Modelling
1 Journal of Discrete Mathematical Sciences & Cryptography
1 Journal of Integer Sequences
1 Acta et Commentationes Universitatis Tartuensis de Mathematica
1 Applied Mathematics E-Notes
1 Iranian Journal of Science and Technology. Transaction A: Science
1 JP Journal of Algebra, Number Theory and Applications
1 South East Asian Journal of Mathematics and Mathematical Sciences
1 Hacettepe Journal of Mathematics and Statistics
1 Advances in Difference Equations
1 Complex Variables and Elliptic Equations
1 The Journal of Prime Research in Mathematics
1 Advances and Applications in Discrete Mathematics
1 Discrete Mathematics, Algorithms and Applications
1 Afrika Matematika
1 International Journal of Group Theory
1 Caspian Journal of Mathematical Sciences
1 Topological Algebra and its Applications
1 Journal of Function Spaces

Citations by Year