Results 41 to 50 of about 218 (162)

A Generalization of Gaussian Balancing and Gaussian Balancing‐Lucas Numbers With Applications

open access: yesInternational 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

New Results on Negative-Indexed Pell Numbers via Matrix Methods

open access: yesCumhuriyet 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   +2 more
doaj   +1 more source

Coding theory on Pell-Lucas p numbers

open access: yesJournal 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

On certain bihypernomials related to Pell and Pell-Lucas numbers

open access: yesCommunications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2022
The bihyperbolic numbers are extension of hyperbolic numbers to four dimensions. In this paper we introduce the concept of Pell and Pell-Lucas bihypernomials as a generalization of bihyperbolic Pell and Pell-Lucas numbers, respectively.
SZYNAL-LIANA, Anetta   +2 more
openaire   +3 more sources

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

open access: yesJournal 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   +4 more
wiley   +1 more source

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

open access: yesJournal 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   +2 more
wiley   +1 more source

Fishing shapes cetacean population density patterns in the Mediterranean basin

open access: yesEcography, 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'   +2 more
wiley   +1 more source

Serendipity or strategy? The college housing search and inequality

open access: yesSociological Forum, Volume 40, Issue 4, Page 481-496, December 2025.
Abstract Housing arrangements provide the foundation for social life and interaction in college. However, we know little about how students locate housing opportunities. This study contributes to the literature on housing, search strategies, and class inequality during college by examining how students search for housing.
Virginia Riel, Olivia G. Ball
wiley   +1 more source

Non-Fisherian generalized Fibonacci numbers [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics
Using biology as inspiration, this paper explores a generalization of the Fibonacci sequence that involves gender biased sexual reproduction. The female, male, and total population numbers along with their associated recurrence relations are considered ...
Thor Martinsen
doaj   +1 more source

Distributional justice and climate risk assessment: An analysis of disparities within direct and indirect risk

open access: yesRisk Analysis, Volume 45, Issue 11, Page 3354-3374, November 2025.
Abstract Climate change and natural hazard risk assessments often overlook indirect impacts, leading to a limited understanding of the full extent of risk and the disparities in its distribution across populations. This study investigates distributional justice in natural hazard impacts, exploring its critical implications for environmental justice ...
M. J. Anderson   +5 more
wiley   +1 more source

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