Prof. Dr. ENGİN &#214;ZKAN

Axioms , cilt.11, sa.12, 2022 (SCI-Expanded)

Hyperbolic k -Jacobsthal and k -Jacobsthal-Lucas Quaternions

Özkan E., Uysal M., Godase A.

Indian Journal of Pure and Applied Mathematics , cilt.53, sa.4, ss.956-967, 2022 (SCI-Expanded)

On New Polynomial Sequences Constructed to Each Vertex in an n-Gon

Ganie A. H., Özkan E., Uysal M., Akhter A.

DISCRETE DYNAMICS IN NATURE AND SOCIETY , cilt.2022, ss.2910678, 2022 (SCI-Expanded)

K-Narayana sequence self-Similarity. flip graph views of k-Narayana self-Similarity

ÖZKAN E., Kuloǧlu B., Peters J. F.

Chaos, Solitons and Fractals , cilt.153, 2021 (SCI-Expanded)

New recurrences on Pell numbers, Pell-Lucas numbers, Jacobsthal numbers, and Jacobsthal-Lucas numbers

Çelik S., Durukan İ., Özkan E.

Chaos, Solitons and Fractals , cilt.150, 2021 (SCI-Expanded)

On Gauss Fibonacci polynomials, on Gauss Lucas polynomials and their applications

Özkan E., Tastan M.

COMMUNICATIONS IN ALGEBRA , cilt.48, sa.3, ss.952-960, 2020 (SCI-Expanded)

Generalized Lucas polynomials and relationships between the Fibonacci polynomials and Lucas polynomials

Özkan E., Altun İ.

COMMUNICATIONS IN ALGEBRA , cilt.47, sa.10, ss.4020-4030, 2019 (SCI-Expanded)

On Relationship Among a New Family of k-Fibonacci, k-Lucas Numbers, Fibonacci and Lucas Numbers

Özkan E., Altun İ., Göçer A.

CHIANG MAI JOURNAL OF SCIENCE , cilt.44, ss.1744-1750, 2017 (SCI-Expanded)

EXPLICIT FORMS OF THE TRACE FORMULA FOR GL(2)

Aydoğdu A., Flicker Y. Z., Özkan E., Ozturk R.

JOURNAL D ANALYSE MATHEMATIQUE , cilt.131, ss.1-71, 2017 (SCI-Expanded)

Truncated Lucas sequence and its period

Applied Mathematics and Computation , cilt.232, ss.285-291, 2014 (SCI-Expanded)

On truncated Fibonacci sequences

Indian Journal of Pure and Applied Mathematics , cilt.38, sa.4, ss.241-251, 2007 (SCI-Expanded)

Fibonacci sequences in nilpotent groups with class n

CHIANG MAI JOURNAL OF SCIENCE , cilt.31, sa.3, ss.205-212, 2004 (SCI-Expanded)

On General Fibonacci Sequences in Groups

Turkish Journal Of Mathematics , cilt.27, sa.4, ss.525-537, 2003 (SCI-Expanded)

3-step Fibonacci series modulo m

Ozkan E., Aydin H., Dikici R.

APPLIED MATHEMATICS AND COMPUTATION , cilt.143, sa.1, ss.165-172, 2003 (SCI-Expanded)

3-step Fibonacci sequences in nilpotent groups

Applied Mathematics and Computation , cilt.144, ss.517-527, 2003 (SCI-Expanded)

Applications of Fibonacci sequences in a finite nilpotent group

Ozkan E., Aydin H., Dikici R.

APPLIED MATHEMATICS AND COMPUTATION , cilt.141, ss.565-578, 2003 (SCI-Expanded)

An application of Fibonacci sequences in groups

Dikici R., Özkan E.

Applied Mathematics and Computation , cilt.136, ss.323-331, 2003 (SCI-Expanded)

An application of Fibonacci sequences in groups

Dikici R., Ozkan E.

APPLIED MATHEMATICS AND COMPUTATION , cilt.136, ss.323-331, 2002 (SCI-Expanded)

Diğer Dergilerde Yayınlanan Makaleler

ON THE HYPERBOLIC k-MERSENNE AND k-MERSENNE-LUCAS OCTONIONS

Uysal M., Kumarı M., Kuloğlu B., Prasad K., Özkan E.

KRAGUJEVAC JOURNAL OF MATHEMATICS , cilt.49, sa.5, ss.765-779, 2025 (ESCI)

Hyperbolic functions obtained from $${\varvec{k}}$$-Pell sequences

AFRIKA MATEMATIKA , cilt.35, ss.1-12, 2024 (ESCI)

Discatenated and lacunary recurrences

Akkuş H., Deveci Ö., Özkan E., Shannon A. G.

NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS , cilt.30, sa.1, ss.8-19, 2024 (ESCI)

An Encoding-Decoding Algorithm Based On Fermat And Mersenne Numbers∗

Eser E., Kuloğlu B., ÖZKAN E.

Applied Mathematics E - Notes , cilt.24, ss.274-282, 2024 (ESCI)

GENERALIZATION OF THE k-LEONARDO SEQUENCE AND THEIR HYPERBOLIC QUATERNIONS

Akkuş H., ÖZKAN E.

Mathematica Montisnigri , cilt.60, ss.14-31, 2024 (Scopus)

ON DUAL BICOMPLEX BALANCING AND LUCAS-BALANCING NUMBERS

Uysal M., Özkan E., Shannon A. G.

JOURNAL OF SCIENCE AND ARTS , cilt.24, sa.4, ss.925-938, 2023 (ESCI)

Local systems with tame, and a unipotent, local monodromy

Flicker Y. Z., Özkan E.

Sao Paulo Journal of Mathematical Sciences , cilt.17, sa.2, ss.465-482, 2023 (ESCI)

ON DOUBLED AND QUADRUPLED FIBONACCI TYPE SEQUENCES

Yılmaz N. Ş., Włoch A., Özkan E., Strzałka D.

Annales Mathematicae Silesianae , cilt.38, ss.1-15, 2023 (ESCI)

ON THE (p,q)-NARAYANA n-DIMENSIONAL RECURRENCES

Kuloğlu B., Özkan E., Shannon A. G.

JOURNAL OF SCIENCE AND ARTS , cilt.23, sa.3, ss.707-714, 2023 (ESCI)

On K-Chebsyhev Sequence

Ozkan E., Akkus H.

WSEAS TRANSACTIONS ON MATHEMATICS , cilt.22, ss.503-507, 2023 (Scopus)

The r-circulant Matrices Associated with k-Fermat and k-Mersenne Numbers

Kuloğlu B., Eser E., Özkan E.

WSEAS TRANSACTIONS ON MATHEMATICS , cilt.22, ss.531-543, 2023 (Scopus)

p-Analogue of biperiodic Pell and Pell–Lucas polynomials

NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS , cilt.29, sa.2, ss.336-347, 2023 (ESCI)

On the Properties of r-Circulant Matrices Involving Generalized Fermat Numbers

Kuloğlu B., Eser E., Özkan E.

SAKARYA UNIVERSITY JOURNAL OF SCIENCE , cilt.27, sa.5, ss.956-965, 2023 (Hakemli Dergi)

On the properties of r-circulant matrices involving Mersenne and Fermat numbers

Munesh Kumaria M., Kalika Prasada K., Tanti J., Özkan E.

International Journal of Nonlinear Analysis and Applications , cilt.14, sa.5, ss.121-131, 2023 (ESCI)

d–Gaussian pell polynomials and their matrix representation

Discrete Mathematics, Algorithms and Applications , cilt.15, sa.6, ss.1-16, 2023 (ESCI)

d-Tribonacci Polynomials and Their Matrix Representations

WSEAS TRANSACTIONS ON MATHEMATICS , cilt.22, ss.204-212, 2023 (Scopus)

On Quaternions with Higher Order Jacobsthal Numbers Components

ÖZKAN E., UYSAL M.

Gazi University Journal of Science , cilt.36, sa.1, ss.336-347, 2023 (ESCI)

Applications of Jacobsthal and Jacobsthal-Lucas numbers in coding theory

Kuloğlu B., Özkan E., Shannon A. G.

Mathematica Montisnigri , cilt.57, sa.4, ss.54-64, 2023 (Hakemli Dergi)

ON THE MERSENNE AND MERSENNE-LUCAS HYBRINOMIAL QUATERNIONS

Eser E., Kuloğlu B., ÖZKAN E.

Bulletin of the Transilvania University of Brasov, Series III: Mathematics and Computer Science , cilt.3, sa.1, ss.129-144, 2023 (Scopus)

THE NARAYANA SEQUENCE IN FINITE GROUPS

FIBONACCI QUARTERLY , cilt.60, sa.5, ss.212-221, 2022 (ESCI)

d-Gaussian Pell-Lucas Polynomials and Their Matrix Representations

Turkish Journal of Mathematics and Computer Science , cilt.14, sa.2, ss.262-270, 2022 (Hakemli Dergi)

Novel Distance Measure for Linear Diophantine Fuzzy Sets

Aydoğdu A., Özkan E.

Research & Reviews: Discrete Mathematical Structures , cilt.9, sa.2, ss.38-45, 2022 (Hakemli Dergi)

On generalized (k, r)-Pell and (k, r)-Pell–Lucas numbers

NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS , cilt.28, sa.4, ss.765-777, 2022 (ESCI)

A new family of Gauss (k,t)-Horadam numbers

Taştan M., Yılmaz N., Özkan E.

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS , cilt.15, sa.12, ss.22502254, 2022 (ESCI)

NEW NARAYANA TRIANGLE

JOURNAL OF SCIENCE AND ARTS , cilt.22, sa.3, ss.563-570, 2022 (ESCI)

Some aspects of interchanging difference equation orders

Shannon A. G., Özkan E.

Notes on Number Theory and Discrete Mathematics , cilt.28, sa.3, ss.507-516, 2022 (ESCI)

Hyperbolic functions obtained from k -Jacobsthal sequences

Asian-European Journal of Mathematics , cilt.15, sa.9, 2022 (ESCI)

ON THE PELL-EISENSTEIN SERIES OF POWER m

Inam I., Özkan E., Uysal M., Ozkaya Z.

Bulletin of the Transilvania University of Brasov, Series III: Mathematics and Computer Science , cilt.2, sa.1, ss.77-82, 2022 (Scopus)

On the bicomplex Gaussian Fibonacci and Gaussian Lucas numbers

Kuloğlu B., ÖZKAN E.

Acta et Commentationes Universitatis Tartuensis de Mathematica , cilt.26, sa.1, ss.33-43, 2022 (ESCI)

Catalan transform of the incomplete Jacobsthal numbers and incomplete generalized Jacobsthal polynomials

Özkan E., Uysal M., Kuloǧlu B.

Asian-European Journal of Mathematics , cilt.15, sa.6, 2022 (ESCI)

D- GAUSSIAN JACOBSTHAL, D- GAUSSIAN JACOBSTHALLUCAS POLYNOMIALS AND THEIR MATRIX REPRESENTATIONS

Electronic Journal of Mathematical Analysis and Applications , cilt.10, sa.2, ss.124-140, 2022 (Hakemli Dergi)

On hyperbolic k-Jacobsthal and k-Jacobsthal–Lucas octonions

Notes on Number Theory and Discrete Mathematics , cilt.28, sa.2, ss.318-330, 2022 (ESCI)

PADOVAN HYBRID QUATERNIONS AND SOME PROPERTIES

Journal Of Science And Arts , cilt.22, sa.1, ss.121-132, 2022 (ESCI)

A short note on the Pell-Lucas-Eisenstein series

Uysal M., Inam I., Özkan E.

Asian-European Journal of Mathematics , cilt.15, sa.5, 2022 (ESCI)

BIGAUSSIAN PELL AND PELL-LUCAS POLYNOMIALS

Özkan E., Alp T.

MATHEMATICA MONTISNIGRI , cilt.53, sa.3, ss.17-25, 2022 (Hakemli Dergi)

A Difference Equation Model of Infectious Disease

Shannon A., Dubeau F., UYSAL M., ÖZKAN E.

International Journal Bioautomation , cilt.26, sa.4, ss.339-352, 2022 (Scopus)

A NEW FAMILY OF HORADAM NUMBERS

Yılmaz N., Taştan M., Özkan E.

Electronic Journal of Mathematical Analysis and Applications , cilt.10, sa.1, ss.64-70, 2022 (Hakemli Dergi)

The k-Fibonacci group and periods of the k-step Fibonacci sequences

Kumari M., Prasad K., Kuloǧlu B., ÖZKAN E.

WSEAS Transactions on Mathematics , cilt.21, ss.838-843, 2022 (Scopus)

Incomplete generalized Vieta–Pell and Vieta–Pell–Lucas polynomials

Kuloğlu B., , Özkan E., Shannon A. G., ,

Notes on Number Theory and Discrete Mathematics , cilt.27, sa.4, ss.245-256, 2021 (ESCI)

MERSENNE-LUCAS HYBRID NUMBERS

MATHEMATICA MONTISNIGRI , cilt.52, ss.17-29, 2021 (Hakemli Dergi)

On F3(k, n) -numbers of the Fibonacci type

Özkan E., Yilmaz N. Ş., Włoch A.

Boletin de la Sociedad Matematica Mexicana , cilt.27, sa.3, 2021 (ESCI)

A New Generalization of Fibonacci Polynomials

Özkan E., Alp T.

Research & Reviews: Discrete Mathematical Structures , cilt.8, sa.2, ss.27-31, 2021 (Hakemli Dergi)

ON GENERALIZED (k, r) – GAUSS PELL NUMBERS

KULOĞLU B., ÖZKAN E.

Journal of Science and Arts , cilt.3, sa.56, ss.617-624, 2021 (ESCI)

A New Approach to k-Jacobsthal Lucas Sequences

Akkuş H., Üregen R. N., Özkan E.

SAKARYA UNIVERSITY JOURNAL OF SCIENCE , cilt.25, sa.4, ss.969-973, 2021 (Hakemli Dergi)

On a new family of gauss k-Lucas numbers and their polynomials

Özkan E., Tastan M.

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS , cilt.14, sa.6, 2021 (Scopus)

K-NARAYANA SEQUENCE SELF-SIMILARITY

Özkan E., Kuloğlu B., Peters J. F.

hal.archives-ouvertes.fr , cilt.03242990, ss.1-21, 2021 (Hakemli Dergi)

On the new Narayana polynomials, the Gauss Narayana numbers and their polynomials

Özkan E., Kuloǧlu B.

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS , cilt.14, sa.6, 2021 (ESCI)

Some properties of k-generalized Fibonacci numbers

Yılmaz N., Aydoğdu A., Özkan E.

MATHEMATICA MONTISNIGRI , cilt.50, sa.7, ss.73-79, 2021 (Hakemli Dergi)

On the new families of k−Pell numbers and k−Pell-Lucas numbers and their polynomials

Özkan E., Taştan M., Aktaş A.

Journal of Contemporary Applied Mathematics , cilt.11, sa.1, ss.16-30, 2021 (Hakemli Dergi)

Catalan transform of the k-Pell, k-Pell-Lucas and modified k-Pell sequence

Tastan M., Özkan E.

NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS , cilt.27, sa.1, ss.198-207, 2021 (Hakemli Dergi)

The generalized k-Fibonacci polynomials and generalized k-Lucas polynomials

Tastan M., Özkan E., Shannon A. G.

NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS , cilt.27, sa.2, ss.148-158, 2021 (Hakemli Dergi)

ON THE GAUSS k− FIBONACCI POLYNOMIALS

Taştan M., Özkan E.

Electronic Journal of Mathematical Analysis and Applications , cilt.9, sa.1, ss.124-130, 2021 (Hakemli Dergi)

On A Jacobsthal-Like Sequence Associated with K-Jacobsthal-Lucas Sequence

Özkan E., Kuloğlu B.

Journal of Contemporary Applied Mathematics , cilt.10, sa.2, ss.3-13, 2020 (Hakemli Dergi)

New Recurrence Relations for Tribonacci Sequence andGeneralized Tribonacci Sequence

Durukan İ., Çelik S., Özkan E.

Research & Reviews: Discrete Mathematical Structures (RRDMS) , cilt.7, sa.3, ss.1-6, 2020 (Hakemli Dergi)

New Number Sequences Obtained with Grouping of Fibonacci Numbers

Durukan İ., Özkan E.

Research & Reviews: Discrete Mathematical Structures (RRDMS) , cilt.7, sa.3, ss.27-35, 2020 (Hakemli Dergi)

Catalan Transform of The k-Lucas Numbers

Özkan E., Taştan M., Güngör O.

Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi , cilt.13, ss.145-149, 2020 (Hakemli Dergi)

CATALAN TRANSFORM OF THE k-JACOBSTHAL SEQUENCE

Electronic Journal of Mathematical Analysis and Applications (EJMAA) , cilt.8, sa.2, ss.70-74, 2020 (Hakemli Dergi)

A NEW FAMILIES OF GAUSS k-JACOBSTHAL NUMBERS AND GAUSS k-JACOBSTHAL-LUCAS NUMBERS AND THEIR POLYNOMIALS

JOURNAL OF SCIENCE AND ARTS , sa.4, ss.893-908, 2020 (Hakemli Dergi)

k-Fibonacci Polynomials in The Family of Fibonacci Numbers

Research & Reviews: Discrete Mathematical Structures , cilt.6, sa.3, ss.19-22, 2019 (Hakemli Dergi)

3-Fibonacci Polynomials in The Family of Fibonacci Numbers

Özkan E., Taştan M., Aydoğdu A.

Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi , cilt.12, sa.2, ss.926-933, 2019 (Hakemli Dergi)

A Sequence Bounded Above by the Lucas Numbers

Özkan E., Aydoğdu A., Göçer A.

SAKARYA UNIVERSITY JOURNAL OF SCIENCE , cilt.22, sa.6, ss.1853-1856, 2018 (Hakemli Dergi)

2-Fibonacci Polynomials in The Family of Fibonacci numbers

Özkan E., Taştan M., Aydoğdu A.

NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS , cilt.24, sa.3, ss.47-55, 2018 (ESCI)

Some Identities For A Family Of Fibonacci And Lucas Numbers

Özkan E., Aydoğdu A., Altun İ.

Journal of Mathematics and Statistical Science , cilt.3, sa.10, ss.295-303, 2017 (Hakemli Dergi)

A new sequence realizing Lucas numbers, and the Lucas bound

Özkan E., Göçer A. A., Altun İ.

Electronic Journal of Mathematical Analysis and Applications , cilt.5, sa.1, ss.148-154, 2017 (Hakemli Dergi)

On The Factor Rings Of Eisenstein Integers

Özkan E., Öztürk R., Aydoğdu A.

Erzincan Journal of Science and Technology , cilt.6, sa.2, ss.165-174, 2013 (Hakemli Dergi)

Catalan Numbers and Modular Arithmetic

Özkan E., Dervişoğlu S.

Journal of the Institute of Science and Technology (JIST) , cilt.2, sa.4, ss.63-66, 2012 (Hakemli Dergi)

General Recurrences in Modular Groups

Dikici R., Özkan E.

Journal of Faculty of Science, Ege University , cilt.21, sa.2, ss.93-101, 1998 (Hakemli Dergi)

Hakemli Kongre / Sempozyum Bildiri Kitaplarında Yer Alan Yayınlar

ON THE FIBONACCI AND LUCAS HYBRINOMIAL QUATERNIONS

Kuloğlu B., Eser E., Özkan E.

4. INTERNATIONAL ANTALYA SCIENTIFIC RESEARCH AND INNOVATIVE STUDIES CONGRESS, Antalya, Türkiye, 9 - 10 Mayıs 2023, ss.963-979

NEW NUMBER SEQUENCES BUILT ON HYBRID NUMBERS

9th International Conference on IFS and Contemporary Mathematics and Engineering (IFSCOM 2023), Mersin, Türkiye, 8 - 11 Temmuz 2023, ss.16-17

An Encoding –Decoding Algorithm Based On Narayana Numbers

Eser E., Kuloğlu B., Özkan E.

9th International Conference on IFS and Contemporary Mathematics and Engineering (IFSCOM 2023), Mersin, Türkiye, 8 - 11 Temmuz 2023, ss.177

A New Approach To Gadovan Numbers

Özkan E., Eser E., Uysal M.

9th International Conference on IFS and Contemporary Mathematics and Engineering (IFSCOM 2023), Mersin, Türkiye, 8 - 11 Temmuz 2023, ss.278

CREATING ENCRYPTION AND DECRYPTION ALGORITHM USING PELL NUMBERS

EYFOR-14, Antalya, Türkiye, 2 - 07 Mayıs 2023, ss.505

A NEW APPROACH TO NARAYANA HYBRID SEQUENCES

9th INTERNATIONAL MARDIN ARTUKLU SCIENTIFIC RESEARCHES CONFERENCE, Mardin, Türkiye, 20 - 22 Ocak 2023, ss.77-81

ON A GENERALIZATION OF MERSENNE HYBRID NUMBERS

International Conference on Computational Mathematics and Engineering Sciences (CMES-2022) , Ordu, Türkiye, 20 - 22 Mayıs 2022, ss.72

On Catalan Transformations of the Gaussian Fibonacci Sequence

2 nd International Congress of Engineering and Natural Sciences (ICENSS 2022), Ankara, Türkiye, 7 - 09 Mayıs 2022, ss.388-393

FIBONACCI SEQUENCES IN FINITE GROUPS

2 nd International Congress of Engineering and Natural Sciences , Ankara, Türkiye, 7 - 09 Mayıs 2022, ss.496-510

A new family of the k-Fibonacci polynomials

Özkan E., Alp T.

Academia International Conference on Mathematics and Mathematics Education, Siirt, Türkiye, 1 - 03 Aralık 2021, ss.44-46

Pell Sayıları ile ilişkili olarak elde edilen Pell fonksiyonları

Prof. Dr. Cemil Yapar Anısına Ulusal Matematik ve İstatistik Sempozyumu, Ordu, Türkiye, 10 - 11 Aralık 2021, ss.1

Relationship Between k-Jacobsthal-Lucas Sequence and Jacobsthal Like Sequence

7th International Mardin Artuklu Scientific Researches Conference, Mardin, Türkiye, 10 - 12 Aralık 2021, ss.1

A Generalization of Gaussian Pell-Lucas Polynomials

International Conference on Mathematics and Mathematics Education, Ankara, Türkiye, 16 - 18 Eylül 2021, ss.1

On the Catalan Transforms of the Incomplete Jacobsthal Numbers

Özkan E., Uysal M., Kuloğlu B.

International Conference on Mathematics and Mathematics Education, Ankara, Türkiye, 16 - 18 Eylül 2021, ss.26-27

Fibonacci Polinomlarının bir Genelleştirmesi

33. Ulusal Matematik Sempozyumu, İstanbul, Türkiye, 31 Ağustos - 03 Eylül 2021, ss.49

Gauss Pell Sayı Tipleri Üzerine

33. Ulusal Matematik Sempozyumu, İstanbul, Türkiye, 31 Ağustos - 03 Eylül 2021, ss.31-37

The K-Narayana Sequence

Özkan E., Kuloğlu B.

International Conference on Mathematics and its Applications in Science and Engineering- ICMASE 2020, Ankara, Türkiye, 9 - 10 Temmuz 2020, ss.1

On New Narayana Polynomials

Özkan E., Kuloğlu B.

International Conference on Mathematics and its Applications in Science and Engineering (ICMASE 2020), Ankara, Türkiye, 9 - 10 Temmuz 2020, ss.1

On The New Families of Gauss K-Lucas Numbers And Their Polynomials

International Conference on Mathematics and its Applications in Science and Engineering (ICMASE 2020), Ankara, Türkiye, 9 Temmuz - 10 Aralık 2020, ss.1

Genelleştirilmiş Jacosthal Dizisinin Yeni Ailesi