Results 51 to 60 of about 159 (139)
Exact Inverse Matrices of Fermat and Mersenne Circulant Matrix
Abstract and Applied Analysis, Volume 2015, Issue 1, 2015., 2015 The well known circulant matrices are applied to solve networked systems. In this paper, circulant and left circulant matrices with the Fermat and Mersenne numbers are considered. The nonsingularity of these special matrices is discussed. Meanwhile, the exact determinants and inverse matrices of these special matrices are presented.
Yanpeng Zheng, Sugoog Shon, Zidong Wang
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On Fuzzy Jacobsthal and Jacobsthal-Lucas Numbers
European Journal of Pure and Applied MathematicsThis study examines the generalization of the classical Jacobsthal and Jacobsthal-Lucas numbers to fuzzy numbers. Using the triangular membership function and the α-cut method, a recurrence relation is given for newly defined fuzzy numbers, and formulas for the general terms of fuzzy sequences are derived.
Büşra Nelik, Serpil Halici
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Jacobsthal and Jacobsthal-Lucas numbers with Lehmar property
, 2020 it seems that there is an error in the ...
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Generalized commutative Jacobsthal quaternions and some matrices
Examples and Counterexamples, 2023 In this paper, some examples of matrix generators for generalized commutative Jacobsthal quaternions were given. The generating matrices are useful tools for the number sequences satisfying a recurrence relation.
Dorota Bród, Anetta Szynal-Liana
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Gaussian Jacobsthal And Gaussian Jacobsthal Lucas Numbers.
Ars Comb., 2013 In this study we define and study the Gaussian Jacob-sthal and Gaussian Jacobsthal Lucas numbers. We give generating functions, Binet formulas, explicit formulas and Q matrix of these numbers. We also present explicit combinatorial and determinantal expressions, study negatively subscripted numbers and give various identities. Similar to the Jacobsthal
Aşçı, Mustafa, Gürel, Eşref
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On The Jacobsthal Numbers By Matrix Method
Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2012 : In this paper we consider the usual Jacobsthal numbers. We investigate the identities between the Jacobsthal numbers and matrices, which are introduced for the first time in this paper. We also present a new complex sum formula.
Ahmet Daşdemir
doaj
Incomplete Bivariate Fibonacci and Lucas 𝑝-Polynomials
Discrete Dynamics in Nature and Society, 2012 We define the incomplete bivariate Fibonacci and Lucas 𝑝-polynomials. In the case 𝑥=1, 𝑦=1, we obtain the incomplete Fibonacci and Lucas 𝑝-numbers. If 𝑥=2, 𝑦=1, we have the incomplete Pell and Pell-Lucas 𝑝-numbers.
Dursun Tasci +2 more
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Identities relating six members of the Fibonacci family of sequences
Karpatsʹkì Matematičnì Publìkacìï, 2022 In this paper, we prove several identities each relating a sum of products of three terms coming from different members of the Fibonacci family of sequences with a comparable sum whose terms come from three other sequences.
R. Frontczak, T. Goy, M. Shattuck
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Some Addition Formulas for Fibonacci, Pell and Jacobsthal Numbers
Annales Mathematicae Silesianae, 2019 In this paper, we obtain a closed form for F?i=1k${F_{\sum\nolimits_{i = 1}^k {} }}$, P?i=1k${P_{\sum\nolimits_{i = 1}^k {} }}$and J?i=1k${J_{\sum\nolimits_{i = 1}^k {} }}$ for some positive integers k where Fr, Pr and Jr are the rth Fibonacci, Pell and ...
Bilgici Göksal, Şentürk Tuncay Deniz
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Mersenne-Horadam identities using generating functions
Karpatsʹkì Matematičnì Publìkacìï, 2020 The main object of the present paper is to reveal connections between Mersenne numbers $M_n=2^n-1$ and generalized Fibonacci (i.e., Horadam) numbers $w_n$ defined by a second order linear recurrence $w_n=pw_{n-1}+qw_{n-2}$, $n\geq 2$, with $w_0=a$ and ...
R. Frontczak, T.P. Goy
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