Results 71 to 80 of about 15,160 (203)

On Some Relationships Among Pell, Pell-Lucas and Modified Pell Sequences

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2010
In this study, Pell, Pell-Lucas and Modified Pell numbers are investigated. Using Binet formulas for these sequences, some relations among these sequences are obtained. Also, some sum formulas are given by these properties.
Serpil Halıcı, Ahmet Daşdemir
doaj   +1 more source

Summing Formulas for Generalized Tribonacci Numbers

Universal Journal of Mathematics and Applications, 2020
In this paper, closed forms of the summation formulas for generalized Tribonacci numbers are presented. Then, some previous results are recovered as particular cases of the present results.
Yüksel Soykan
doaj   +1 more source

Dual Proximal Groups Concisely Representing Complex Hosoya Triangles

Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.
This paper introduces dual proximal groups (DPGs) that provide concise representation of complex Hosoya triangles (CHTs). An application is given in terms of the DPG representation of collections of Hosoya‐Hilbert circular triangles on modulated motion waveforms in sequences of video frames. MSC2020 Classification: 11B39,54E05,57S25.
Kübra Gül, James F. Peters, Ömür Deveci, Ivan Giorgio   +3 more
wiley   +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, A. Al-Kateeb, Abdul Rauf Khan   +2 more
wiley   +1 more source

New Results on Negative-Indexed Pell Numbers via Matrix Methods

Cumhuriyet Science Journal
In this study, we investigate the Pell and Pell–Lucas numbers sequences and construct matrices whose elements are defined using negative indices of these sequences through Binet’s formula. Identities involving negative-indexed Pell and Pell–Lucas numbers
İbrahim Gökcan, Ümmügülsün Çağlayan, Ali Hikmet Değer   +2 more
doaj   +1 more source

Computational Framework for Numerical Simulation of Fractional‐Order Financial Crime Model via Lucas Collocation Technique

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
The Lucas collocation approach is used in this study to approximate a fractional‐order financial crime model (FOFCM) numerically. The model categorizes the population into five groups: persons without a financial criminal past, those inclined toward financial crimes, active participants, individuals undergoing prosecution, and those imprisoned.
Mahmoud Abd El-Hady, Homan Emadifar, Mehdi Hariri, Atallah El-Shenawy, Chong Lin   +4 more
wiley   +1 more source

Split Quaternionic Representations of Horadam Sequences and Their Binet, Generating Function, and Cassini‐Type Identities

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study establishes a novel algebraic connection between Horadam numbers and the split quaternion algebra. To this end, two fundamental constructs are introduced: the Fibonacci Sq,r‐split quaternions and the Horadam sq,r‐split quaternions, which generalize Horadam numbers within the framework of split quaternions.
İskender Öztürk, Hasan Çakır, Smritijit Sen   +2 more
wiley   +1 more source

Coding theory on Pell-Lucas p numbers

Journal of Physics: Conference Series, 2019
Abstract In this paper, we developed a new coding and decoding method followed from Pell-Lucas p numbers SpAn. We established the relations among the code matrix elements for p = 1 and i=1, error detection and correction for this coding theory. Correction ability of this method is 93.33% for p = 1,i=1 and for p = 2,i=2
P. Sundarayya, M.G. Vara Prasad
openaire   +1 more source

Fishing shapes cetacean population density patterns in the Mediterranean basin

Ecography, Volume 2025, Issue 12, December 2025.
Human impacts are forcing species towards marginal and suboptimal portions of their historical ranges. Cetaceans are now under protection, but are still threatened by fishing activities, which reduce fish stocks, alter their feeding behavior, and can cause mortality due to bycatch.
Davide Fundaro', Carlotta Vivaldi, Luca Santini   +2 more
wiley   +1 more source

Pell and Pell-Lucas Numbers of the Form −2a − 3b + 5c

Czechoslovak Mathematical Journal, 2019
In this paper, we find all Pell and Pell-Lucas numbers written in the form −2a − 3b + 5c, in nonnegative integers a, b, c, with 0 ⩽ max{a, b} ⩽ c.
Yunyun Qu, Jiwen Zeng
semanticscholar   +1 more source