Results 71 to 80 of about 1,163,634 (140)

A Study on Dual Hyperbolic Generalised Leonardo Numbers

Asian Research Journal of Mathematics
In this study, we present a comprehensive formalization of dual hyperbolic generalized Leonardo numbers, systematically examining their structural properties and mathematical significance.
C. M. Dikmen
semanticscholar   +1 more source

THE GENERALIZED BINET FORMULA, REPRESENTATION AND SUMS OF THE GENERALIZED ORDER-$k$ PELL NUMBERS

Taiwanese Journal of Mathematics, 2006
In this paper we give a new generalization of the Pell numbers in matrix representation. Also we extend the matrix representation and we show that the sums of the generalized order-k Pell numbers could be derived directly using this representation. Further we present some identities, the generalized Binet formula and combinatorial representation of the
Kiliç, Emrah, Taşci, Dursun
openaire   +4 more sources

On a unified approach to homogeneous second-order linear difference equations with constant coefficients and some applications

Special Matrices
In this article, we establish a new closed formula for the solution of homogeneous second-order linear difference equations with constant coefficients by using matrix theory.
Kaddoura Issam, Mourad Bassam
doaj   +1 more source

A New Perspective On Hyper Dual Fibonnaci And Hyper Dual Lucas Numbers

Turkish journal of mathematics & computer science
In this paper, we introduction hyper dual numbers with hyper dual Fibonacci and Lucas number coefficients . Firstly, we obtained for these new number recurrence relation and Binet’s formula.
Murat Turan, Sıddıka Özkaldı Karakuş   +1 more
semanticscholar   +1 more source

On the Generalized Order-k Jacobsthal and Jacobtshal-Lucas Numbers

Fundamentals of Contemporary Mathematical Sciences
The classic Jacobsthal numbers were generalized to k sequences of the generalized order-k Jacobsthal numbers and then have been studied by several authors.
Ahmet Daşdemir, Göksal Bilgici, Hossen Ahmed   +2 more
semanticscholar   +1 more source

Binet – Type Formula For The Sequence of Tetranacci Numbers by Alternate Methods

Mathematical Journal of Interdisciplinary Sciences, 2019
The sequence {Tn} of Tetranacci numbers is defined by recurrence relation Tn= Tn-1 + Tn-2 + Tn-3 + Tn-4; n≥4 with initial condition T0=T1=T2=0 and T3=1. In this Paper, we obtain the explicit formulla-Binet-type formula for Tn by two different methods. We use the concept of Eigen decomposition as well as of generating functions to obtain the result.
null Gautam S. Hathiwala, null Devbhadra V. Shah   +1 more
openaire   +2 more sources

ON GAUSSIAN FUZZY LUCAS NUMBERS

Journal of Science and Arts
In the present paper, we introduce a new class of fuzzy numbers, which we will call Gaussian fuzzy Lucas numbers. We establish some fundamental properties and identities for these newly defined numbers, including the recurrence relation, Binet’s formula,
Tülay Yaǧmur
semanticscholar   +1 more source

A new member of the Pell sequences: the pseudo-Pell sequence

Studia Universitatis Babeş-Bolyai. Mathematica
In this study, we define a new family of the Pell numbers and establish some properties of the relation to the ordinary Pell numbers. We give some identities the pseudo-Pell numbers.
Hasan Gökbaş
semanticscholar   +1 more source

Fibonacci Polynomials and It’s Generalization

Mikailalsys Journal of Mathematics and Statistics
This article explores the definition, properties, and generalizations of Fibonacci polynomials, providing a comprehensive understanding of their mathematical significance.
N. Kumar, S. K. Sahani
semanticscholar   +1 more source

Extended Generalized Fibonacci and Tribonacci Polynomials with some Properties

Sarajevo Journal of Mathematics
In this paper, we introduced the extended generalized Fibonacci polynomial sequence \{$Y_{2,n}$\} and extended generalized Tribonacci polynomial \{$Y_{3,n}$\} with arbitrary initial values and established a recursive matrix and then presented some ...
Vaishali Billore, Naresh Patel, Hemant Makwana   +2 more
semanticscholar   +1 more source