Results 81 to 90 of about 1,148,545 (158)

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

Generalization of the 2-Fibonacci sequences and their Binet formula

Notes on Number Theory and Discrete Mathematics
We will explore the generalization of the four different 2-Fibonacci sequences defined by Atanassov. In particular, we will define recurrence relations to generate each part of a 2-Fibonacci sequence, discuss the generating function and Binet formula of each of these sequences, and provide the necessary and sufficient conditions to obtain each type of ...
Timmy Ma, Richard Vernon, Gurdial Arora
openaire   +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

Poster Sessions

HemaSphere, Volume 10, Issue S1, June 2026.
wiley   +1 more source

On Gaussian Pell quaternion polynomials

, 2022
Fibonacci dizisi, sayı dizileri arasında en çok çalışılan tam sayı dizisidir. Diğer yandan Pell sayı dizisi ve bu sayı dizisinin genelleştirilmeleri de pek çok yazar tarafından çalışılmıştır.
Duzcu, Mevlüt
core  

On the generalized k-Fibonacci hyperbolic functions

, 2010
The hyperbolic Fibonacci function, which is the being extension of Binet's formula for the Fibonacci number in continuous domain, transform the Fibonacci number theory into "continuous" theory because every identity for the hyperbolic Fibonacci function ...
Ipek, Ahmet
core   +1 more source

Publication Only

HemaSphere, Volume 10, Issue S1, June 2026.
wiley   +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

A new approach to Leonardo number sequences with the dual vector and dual angle representation

In this paper, we introduce dual numbers with components including Leonardo number sequences. This novel approach facilitates our understanding of dual numbers and properties of Leonardo sequences.
Atasoy, Ali, Babadağ, Faik
core   +1 more source

INVESTIGATING THE DUAL QUATERNION EXTENSION OF THE DGC LEONARDO SEQUENCE

<p>In this study, we introduce a new generalization of the Leonardo sequence, dual quaternions with the DGC Leonardo sequence coefficients, depending on the parameter p is an element of R.
Sacli, Gulsum yeliz, Yilmaz, Cigdemigdem zeynep   +1 more
core   +1 more source