Results 41 to 50 of about 1,736,628 (188)

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

A NOTE ON BIGAUSSIAN PELL AND PELL-LUCAS NUMBERS

Journal of Science and Arts, 2021
In this study, we define a new type of Pell and Pell-Lucas numbers which are called biGaussian Pell and biGaussian Pell-Lucas numbers. We also give the relationship between negabiGaussian Pell and Pell-Lucas numbers and bicomplex Pell and Pell-Lucas numbers.
openaire   +1 more source

Diophantine tuples and product sets in shifted powers

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract Let k⩾2$k\geqslant 2$ and n≠0$n\ne 0$. A Diophantine tuple with property Dk(n)$D_k(n)$ is a set of positive integers A$A$ such that ab+n$ab+n$ is a k$k$th power for all a,b∈A$a,b\in A$ with a≠b$a\ne b$. Such generalizations of classical Diophantine tuples have been studied extensively.
Ernie Croot, Chi Hoi Yip
wiley   +1 more source

Acoustic Features of Emotional Vocalizations Account for Early Modulations of Event‐Related Brain Potentials

Psychophysiology, Volume 63, Issue 2, February 2026.
ABSTRACT Emotion is key to human communication, and inferring emotion in a speaker's voice is a cross‐cultural and cross‐linguistic capability. Electroencephalography (EEG) studies of neural mechanisms supporting emotion perception have reported that early components of the event‐related potential (ERP) are modulated by emotion.
Yichen Tang, Paul M. Corballis, Luke E. Hallum   +2 more
wiley   +1 more source

Three Drivers of 21st‐Century Changes in Ocean Tides

Journal of Geophysical Research: Oceans, Volume 131, Issue 1, January 2026.
Abstract Numerical model simulations are conducted to study the response of barotropic ocean tides to 21st‐century climate change, as manifested by sea level rise, increasing ocean stratification, and expanding Antarctic ice shelf cavities. Emphasis is placed on surface elevations, with projections of M2 ${\mathrm{M}}_{2}$, S2 ${\mathrm{S}}_{2}$, K1 ${\
Lana Opel, Michael Schindelegger, Leigh R. MacPherson, Athanasios T. Vafeidis, J. A. Mattias Green, Roelof Rietbroek, Nicholas R. Golledge, Luke P. Jackson, Brian K. Arbic   +8 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

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

GENELLEŞTİRİLMİŞ LUCAS, PELL-LUCAS SAYILARI VE GENELLEŞTİRİLMİŞ LUCAS, PELL-LUCAS POLİNOMLARI ÜZERİNE

, 2022
Bu çalışmada Fibonacci Sayıları, Pell Sayıları, Pell-Lucas Sayıları esas alınarak Genelleştirilmiş Lucas ve Genelleştirilmiş Pell-Lucas şeklindeki yeni sayı dizileri tanımlanmıştır.
Zişan KUŞAKSIZ TAŞ
core  

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