Results 41 to 50 of about 66,564 (179)
Non-Fisherian generalized Fibonacci numbers [PDF]
Notes on Number Theory and Discrete MathematicsUsing 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
Tribonacci and Tribonacci-Lucas Sedenions
, 2018 The sedenions form a 16-dimensional Cayley-Dickson algebra. In this paper, we introduce the Tribonacci and Tribonacci-Lucas sedenions. Furthermore, we present some properties of these sedenions and derive relationships between them.Comment: 17 pages, 1 ...
Soykan, Yüksel
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A New Polar Representation for Pell and Pell-Lucas Split Quaternions
Journal of Advances in Mathematics and Computer ScienceIn this paper, we define split quaternions with components including Pell and Pell-Lucas number sequences. By using Binet's formulas and Cayley-Dickson's notation we introduce a new polar representation for split quaternions.
Faik Babadağ, Ali Atasoy
semanticscholar +1 more source
Gaussian Generalized Tetranacci Numbers
, 2019 In this paper, we define Gaussian generalized Tetranacci numbers and as special cases, we investigate Gaussian Tetranacci and Gaussian Tetranacci-Lucas numbers with their ...
Soykan, Yüksel
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GENERALIZATION OF PELL SEQUENCE AND PELL-LUCAS SEQUENCE, NEW RESULTS AND CIRCULANT MATRICES ASPECTS
Facta Universitatis Series Mathematics and InformaticsSome generalizations of Pell sequence and Pell-Lucas sequence, namely, (k,h)-Pell sequence and (k,h)-Pell-Lucas sequence are considered in this paper. We obtain generating functions, some identities and formulas for the sums of a finite number of terms ...
S. H. Jafari Petroudi, M. Pirouz
semanticscholar +1 more source
A TILING INTERPRETATION FOR (p,q)-FIBONACCI AND (p,q)-LUCAS NUMBERS
Journal of Universal Mathematics, 2022 In this paper, we introduce a tiling approach to (p,q)-Fibonacci and (p,q)-Lucas numbers that generalize of the well-known Fibonacci, Lucas, Pell, Pell-Lucas, Jacobsthal ve Jacobsthal-Lucas numbers.
Yasemin Taşyurdu +1 more
semanticscholar +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
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 +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 +8 more
wiley +1 more source
Generating matrix of the bi-periodic Lucas numbers
, 2016 In this paper, firstly, we introduce the Q_{l}-Generating matrix for the bi-periodic Lucas numbers. Then, by taking into account this matrix representation, we obtain some properties for the bi-periodic Fibonacci and Lucas ...
Coskun, Arzu, Taskara, Necati
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