Results 61 to 70 of about 9,774,386 (178)

Hybrid convolutions on Pell and Lucas polynomials [PDF]

open access: yesDiscrete Mathematics Letters, 2021
Dongwei Guo, Wenchang Chu
doaj   +1 more source

Gaussian-bihyperbolic Numbers Containing Pell and Pell-Lucas Numbers

open access: yesJournal of Advanced Research in Natural and Applied Sciences, 2023
In this study, we define a new type of Pell and Pell-Lucas numbers which are called Gaussian-bihyperbolic Pell and Pell-Lucas numbers. We also define negaGaussian-bihyperbolic Pell and Pell-Lucas numbers. Moreover, we obtain Binet’s formulas, generating function formulas, d’Ocagne’s identities, Catalan’s identities, Cassini’s identities and some sum ...
openaire   +3 more sources

A Hybrid Matrix–Based Encoding Scheme With Error Detection via Third‐Order Recurrences

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we propose a novel encoding–decoding algorithm based on third‐order linear recurrence sequences and their associated matrix representations. In particular, third‐order Jacobsthal and third‐order Jacobsthal–Lucas matrix sequences are combined with Padovan and Perrin matrix sequences to construct a hybrid block–based coding scheme.
Sukran Uygun, Smritijit Sen
wiley   +1 more source

On the Domain of the Pell-Lucas Matrix in the Spaces c and c_0

open access: yesDera Natung Government College Research Journal
In this study, we introduce new Banach sequence spaces $c(\Theta), c_0(\Theta)$, defined via a regular infinite matrix $ \Theta = (\lambda_{nk})$, where \[ \Theta_{nk} = \begin{cases} \dfrac{2\lambda_k}{3\lambda_n+\lambda_{n-1}} & 0 \leq k \leq n ...
Shiva Shah
doaj   +1 more source

Coefficient Bounds and Fekete–Szegö Inequalities for a New Family of Bi‐Univalent Functions Associated With Horadam Polynomial

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
We define in this paper a new class of normalized bi‐univalent functions through Horadam polynomials. The main aim of this paper is to provide sharp estimates for the second and third Taylor–Maclaurin coefficients of functions in this new class. We also obtain the Fekete–Szegö inequality for these functions.
Musthafa Ibrahim   +4 more
wiley   +1 more source

Fibonacci-Like sequence associated with k-Pell, k-Pell-Lucas and Modified k-Pell sequences [PDF]

open access: yes, 2017
Fibonacci sequence is a well known example of second order linear recurrence relatio. Besides Fibonacci numbers and their generalizations have many applications as well as interesting properties almost in every field of science such as in Physics ...
Wani, A. A.   +5 more
core   +3 more sources

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

Deriving Binomial Convolution Formulas for Horadam Sequences via Context-Free Grammars

open access: yesAxioms
The Horadam sequence Hn(a,b;p,q) unifies a number of well-known sequences, such as Fibonacci and Lucas sequences. We use the context-free grammars as a new tool to study Horadam sequences.
Jun-Ying Liu   +3 more
doaj   +1 more source

Repdigits as Products of Consecutive Pell or Pell–Lucas Numbers

open access: yesIranian Journal of Mathematical Sciences and Informatics
Summary: A positive integer is called a repdigit if it has only one distinct digit in its decimal expansion. In this paper, we find all repdigits that are products of consecutive Pell or Pell-Lucas numbers. This paper continues previous work which dealt with finding occurrences of repdigits in the Pell and Pell-Lucas sequences.
Bravo, Eric F., Bravo, Jhon J.
openaire   +2 more sources

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

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