STM Journals Peer-reviewed research from Consortium e-Learning Network

4 publications

  • Published Subscription

    On Pell Functions and Pell Numbers

    By Mine Uysal, Engin Özkan

    Abstract: Number sequences have been studied by many scientists for many years because they find applications in nature and many branches of science. The most well-known number sequence among these integer sequences is the Fibonacci sequence. Later, these integer sequences were generalized and many number sequences were defined and their properties were examined. One of these is Pell number sequences. Pell numbers can be calculated in a way similar to the …

    Published in Research & Reviews: Discrete Mathematical Structures · Vol. 10, Issue 3, 2023 · pp. 1–9 Read article

  • Published Subscription

    Novel Distance Measure for Linear Diophantine Fuzzy Sets

    By Engin Özkan, Ali Aydoğdu

    Abstract: Unlike other fuzzy set theories, the theory of Linear Diophantine fuzzy set (LDFS) aims to overcome uncertainties via the reference parameters. The Parameters provide flexibility and efficiency to LDFS in handling the uncertain data. In this study, we introduce new distance measure for linear Diophantine fuzzy sets. Then, we studied the properties of proposed distance measure. Finally, we established a new similarity measure for LDFSs based on distance measure.

    Published in Research & Reviews: Discrete Mathematical Structures · Vol. 9, Issue 2, 2022 · pp. 38–45 Read article

  • Published Subscription

    A New Generalization of Fibonacci Polynomials

    By Engin Özkan, Tuğba ALP

    Abstract: The Fibonacci sequences, which have an increasing place in scientific studies and are the most wellknown among the number sequences, first appeared in Leonardo Fibonacci's book 'Liber Abaci', which contains many basic problems, in a rabbit problem. Fibonacci sequences were obtained by writing down the monthly total number of new rabbits born by mating only once per month, initially one female and one male rabbit. This sequence, which is obtained …

    Published in Research & Reviews: Discrete Mathematical Structures · Vol. 8, Issue 2, 2021 · pp. 27–31 Read article

  • Published Subscription

    k-Fibonacci Polynomials in The Family of Fibonacci Numbers

    By Engin Özkan, Merve Taştan

    Abstract: Abstract: In this study, we define k-Fibonacci Polynomials by using terms of a new family of Fibonacci numbers given by Mikkawy and Sogabe. We compare the polynomials with known Fibonacci polynomial. Furthermore, we show the relationship between Pascal’s triangle and the coefficient of the k-Fibonacci polynomials. We give some important properties of the polynomial.2010 Mathematics Subject Classification: 11B39.Keywords: Fibonacci Numbers, Fibonacci Polynomials, Pascal’s triangle, k-Fibonacci polynomials, The derivative of the …

    Published in Research & Reviews: Discrete Mathematical Structures · Vol. 6, Issue 3, 2019 · pp. 19–22 Read article

Support