Results 41 to 50 of about 8,726 (124)
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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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
Balancing numbers : some identities [PDF]
, 2014 This paper studies a problem in the theory of figurate numbers identifying and investigating those numbers which are polygonal in two ways - triangular and square.
Parida, Kaberi
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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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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 +3 more
wiley +1 more source
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
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On the spectral norm of r-circulant matrices with the Pell and Pell-Lucas numbers
Journal of Inequalities and Applications, 2016 Let us define A = C r ( a 0 , a 1 , … , a n − 1 ) $A=C_{r}(a_{0},a_{1},\ldots,a_{n-1})$ to be a n × n $n \times n$ r-circulant matrix. The entries in the first row of A = C r ( a 0 , a 1 , … , a n − 1 ) $A=C_{r}(a_{0},a_{1},\ldots,a_{n-1})$ are a i = P i
Ramazan Türkmen, Hasan Gökbaş
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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
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Divisors and specializations of Lucas polynomials [PDF]
, 2014 Three-term recurrences have infused stupendous amount of research in a broad spectrum of the sciences, such as orthogonal polynomials (in special functions) and lattice paths (in enumerative combinatorics).
Amdeberhan, Tewodros +2 more
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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 +2 more
wiley +1 more source