Head of the Department of Mathematics | Marmara University | Turkey
Prof. Dr. Engin Özkan is a distinguished mathematician specializing in number theory, combinatorics, and polynomial structures of number sequences. His research explores the properties and transformations of Fibonacci, Pell, Jacobsthal, and Lucas-type sequences, along with their applications in finite groups and algebraic structures. Through his extensive academic career at leading institutions in Turkey and abroad, including Marmara University and The Ohio State University, he has contributed significantly to the development of generalized number sequences and their combinatorial representations. Prof. Özkan’s studies advance the theoretical foundations of sequence polynomials and trace formulas, bridging classical and modern mathematical theory.
Profiles: Scopus | Orcid | Google Scholar | Web of Science
Featured Publications
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Taştan, M., & Özkan, E. (2021). Catalan transform of the k-Pell, k-Pell–Lucas and modified k-Pell sequence. Notes on Number Theory and Discrete Mathematics, 27(1), 198–207. Citation count: 25.
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Taştan, M., Özkan, E., & Shannon, A. G. (2021). The generalized k-Fibonacci polynomials and generalized k-Lucas polynomials. Notes on Number Theory and Discrete Mathematics, 27(2), 148–158. Citation count: 24.
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Kuloğlu, B., Özkan, E., & Shannon, A. G. (2022). The Narayana sequence in finite groups. Fibonacci Quarterly, 60(5), 212–221. Citation count: 22.
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Özkan, E., Uysal, M., & Kuloğlu, B. (2022). Catalan transform of the incomplete Jacobsthal numbers and incomplete generalized Jacobsthal polynomials. Asian-European Journal of Mathematics, 22501194. Citation count: 22.
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Özkan, E., & Uysal, M. (2021). Mersenne–Lucas hybrid numbers. Mathematica Montisnigri, 52, 17–29. Citation count: 21.