Fibonacci Sequences Number sequences Number sequences in groups Polynomial of the number sequences. Fibonacci sequence,
Number sequences
Polynomials of the number sequences
Matrices related to number sequences
Generating functions
Binet formula
Subject:
Number Theory and Algebra Number theory, Nilpotent groups
Main publications:
Engin Özkan, “3-Step Fibonacci Sequences in Nilpotent Groups”, Applied Mathematics and Computation, 144 (2003), 517-527
Engin Özkan, “Truncated Lucas Sequence and Its Period”, Applied Mathematics and Computation, 232 (2014), 285-291
Engin Özkan and İpek Altun, “Generalized Lucas Polynomials and Relationships Between the Fibonacci Polynomials and Lucas Polynomials”, Communications in Algebra, 47 (2019), 10-12
Songul Celik, Inan Durukan and Engin Özkan, “New Recurrences on Pell Numbers, Pell-Lucas Numbers, Jacobsthal Numbers, And Jacobsthal-Lucas Numbers”, Chaos, Solitons and Fractals, 150 (2021), 111173
Engin Özkan, Bahar Kuloglu and James Peter, “k-Narayana sequence self-Similarity. flip graph views of k-Narayana self-Similarity”, Chaos, Solitons and Fractals, 153:2 (2021), 111473
M. Kumari, K. Prasad, E. Ozkan, J. Tanti, “On the Norms and Eigenvalues of $r$-Circulant Matrices with $k$-Mersenne and $k$-Mersenne–Lucas Numbers”, Math. Notes, 114:4 (2023), 522–535
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