Results 71 to 80 of about 916 (205)
Generalized Fibonacci Polynomials and Their Properties
SymmetryThis study presents a unified framework for the simultaneous analysis of generalized Fibonacci numbers and their associated polynomial extensions, both of which play a significant role in combinatorial analysis and discrete mathematics. The generalized Fibonacci polynomials have been extended to four new families of polynomials, each defined through ...
Sibel Koparal +5 more
openaire +2 more sources
Design of Iterative MDS Matrices Based on MISTY Structure
IET Information Security, Volume 2026, Issue 1, 2026.The security of symmetric‐key ciphers critically depends on the diffusion efficiency of their linear components. Iterative maximum distance separable (MDS) matrices, as fundamental elements of diffusion layer, play a pivotal role in constructing secure cryptographic systems.
Guoqiang Liu +5 more
wiley +1 more source
Distance Fibonacci Polynomials—Part II [PDF]
, 2021 In this paper we use a graph interpretation of distance Fibonacci polynomials to get a new generalization of Lucas polynomials in the distance sense.
Urszula Bednarz +1 more
core +1 more source
Symmetric and generating functions of generalized (p,q)-numbers
Kuwait Journal of Science, 2021 In this paper, we first define new generalization for (p,q)-numbers. Considering these sequence, we give Binet's formulas and generating functions of (p,q)-Fibonacci numbers, (p,q)-Lucas numbers, (p,q)-Pell numbers, (p,q)-Pell Lucas numbers, (p,q ...
Nabiha Saba +2 more
doaj +1 more source
Bernoulli-Fibonacci Polynomials
, 2020 By using definition of Golden derivative, corresponding Golden exponential function and Fibonomial coefficients, we introduce generating functions for Bernoulli-Fibonacci polynomials and related numbers. Properties of these polynomials and numbers are studied in parallel with usual Bernoulli counterparts.
Pashaev, Oktay K., Ozvatan, Merve
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IET Intelligent Transport Systems, Volume 20, Issue 1, January/December 2026.This article provides a comprehensive review of studies on the 3L‐CVRP (capacitated vehicle routing problem with three‐dimensional loading constraints) published from 2006 to 2026. It systematically classifies problem variants, modelling frameworks, and solution approaches, while also summarising benchmark instances.
Jushang Chi, Rui Song, Shiwei He
wiley +1 more source
On Period of the Sequence of Fibonacci Polynomials Modulo
Discrete Dynamics in Nature and Society, 2013 It is shown that the sequence obtained by reducing modulo coefficient and exponent of each Fibonacci polynomials term is periodic. Also if is prime, then sequences of Fibonacci polynomial are compared with Wall numbers of Fibonacci sequences according ...
İnci Gültekin, Yasemin Taşyurdu
doaj +1 more source
Computational and Mathematical Methods, Volume 2026, Issue 1, 2026.Nonlinear dispersion phenomena in liquid media often lead to the formation of localized structures such as compact wave packets and dispersion drops. The present investigation demonstrates that the proposed analytical framework yields accurate approximate solutions, successfully captures compacton‐like structures, and clearly reveals the critical ...
Yogeshwari F. Patel +3 more
wiley +1 more source
On k-Fibonacci sequences and polynomials and their derivatives [PDF]
, 2009 The k-Fibonacci polynomials are the natural extension of the k-Fibonacci numbers and many of their properties admit a straightforward proof. Here in particular, we present the derivatives of these polynomials in the form of convolution of k-Fibonacci ...
Falcón, Sergio, Plaza, Ángel
core +1 more source
A Generalization of Gaussian Balancing and Gaussian Balancing‐Lucas Numbers With Applications
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.In this paper, we study a generalization of Gaussian balancing and Gaussian Lucas‐balancing numbers, we find their generating functions, Binet formulas, related matrix representation, and many other properties. Also, we provide some applications in cryptography.
T. Al-Asoully +2 more
wiley +1 more source