Results 21 to 30 of about 81 (66)
-order Fibonacci and Lucas hybrid numbers
, 2021 In this study, we describe the generalized k-order Fibonacci and Lucas numbers and give some important results with specific choices. The main purpose of this study is to define the generalized k-order Fibonacci hybrid and Lucas hybrid numbers and give ...
Suleyman Aydinyuz +3 more
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On generalized bihyperbolic third-order Jacobsthal polynomials [PDF]
summary:A new generalization of third-order Jacobsthal bihyperbolic polynomials is introduced. Some of the properties of presented polynomials are given.
Cerda-Morales, Gamaliel
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Dual third-order Jacobsthal quaternions
, 2018 In 2016, Yüce and Torunbalcı Aydın (18) defined dual Fibonacci quaternions. In this paper, we defined the dual third-order Jacobsthal quaternions and dual third-order Jacobsthal-Lucas quaternions.
Cerda-Morales, Gamaliel
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On Jacobsthal and Jacobsthal-Lucas Circulant Type Matrices [PDF]
, 2015 Circulant type matrices have become an important tool in solving fractional order differential equations. In this paper, we consider the circulant and left circulant and g-circulant matrices with the Jacobsthal and Jacobsthal-Lucas numbers.
Zhaolin Jiang, Yanpeng Gong, Yun Gao
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Qualitative Behavior of Bidimensional Rational Fuzzy Difference Equations
Abstract and Applied Analysis, Volume 2025, Issue 1, 2025.This paper aims to extend the research conducted by Yalçınkaya et al. on one‐dimensional dynamics, specifically, their work titled “Qualitative behavior of a higher‐order fuzzy difference equation.” The purpose of this study is to expand the analysis of fuzzy difference equations into a bidimensional framework.
Najmeddine Attia +2 more
wiley +1 more source
, 2020 In this paper, we define and study the bivariate complex Fibonacci and Lucas polynomials. We introduce a operator in order to derive some new symmetric properties of bivariate complex Fibonacci and bivariate complex Lucas polynomials, and give the ...
Boughaba Souhila +2 more
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Some interpretations of the $(k,p)$-Fibonacci numbers [PDF]
, 2021 summary:In this paper we consider two parameters generalization of the Fibonacci numbers and Pell numbers, named as the $(k,p)$-Fibonacci numbers. We give some new interpretations of these numbers.
Paja, Natalia, Włoch, Iwona
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Jacobsthal representation hybrinomials
, 2021 Jacobsthal numbers are a special case of numbers defined recursively by the second order linear relation and for these reasons they are also named as numbers of the Fibonacci type.
Szynal-Liana, Anetta +2 more
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Several Determinantal Expressions of Generalized Tribonacci Polynomials and Sequences
, 2020 In the paper, the authors present several explicit formulas for the $(p,q,r)$-Tribonacci polynomials and generalized Tribonacci sequences in terms of the Hessenberg determinants and, consequently, derive several explicit formulas for the Tribonacci ...
Wei Shih Du, Can Kizilates, Feng Qi
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A Study On Sum Formulas of Generalized Sixth-Order Linear Recurrence Sequences
, 2020 In this paper, closed forms of the summation formulas for generalized Hexanacci numbers are presented. As special cases, we give summation formulas of Hexanacci, Hexanacci-Lucas, sixth order Pell, sixth order Pell-Lucas, sixth order Jacobsthal, sixth ...
Yüksel Soykan, Soykan, Yüksel
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