Results 91 to 100 of about 724,539 (169)
Relationship between Vieta-Lucas polynomials and Lucas sequences
, 2022 Let $w_n=w_n(P,Q)$ be numerical sequences which satisfy the recursion relation \begin{equation*} w_{n+2}=Pw_{n+1}-Qw_n. \end{equation*} We consider two special cases $(w_0,w_1)=(0,1)$ and $(w_0,w_1)=(2,P)$ and we denote them by $U_n$ and $V_n$ respectively. Vieta-Lucas polynomial $V_n(X,1)$ is the polynomial of degree $n$.
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From Physiology to Bioheat Simulation: A Data‐Driven Framework for Core Temperature Initialization
Heat Transfer, Volume 55, Issue 8, Page 5198-5228, December 2026.ABSTRACT Accurate initialization of core body temperature is a critical yet often overlooked component of bioheat transfer models, particularly when such models are applied to heterogeneous populations and real‐world environmental conditions. Conventional bioheat simulations typically rely on fixed or idealized core body temperature values derived from
David S. Rodríguez +6 more
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UJM (Unnes Journal of Mathematics)In this paper, Fredholm integro-differential equations are solved using the derivative of the Lucas polynomials in matrix form. The equation is first transformed into systems of nonlinear algebraic equations using the Lucas polynomials.
Nathaniel Kamoh +2 more
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Rational points on even‐dimensional Fermat cubics
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract We show that even‐dimensional Fermat cubic hypersurfaces are rational over any field of characteristic not equal to three, by constructing explicit rational parameterizations with polynomials of low degree. As a byproduct of our rationality constructions, we obtain estimates for the number of their rational points over a number field and ...
Alex Massarenti
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Generalized Bivariate Fibonacci and Lucas Polynomials By Tridiagonal Matrices
In this paper, we present certain tridiagonal matrices associated with generalized bivariate Fibonacci and Lucas polynomials and investigate the relationships between these matrices and polynomials.
Yasemin TASYURDU, Beyza AYDAN
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Generalized Fibonacci-Lucas Polynomials
International Journal of Advanced Mathematical Sciences, 2013 Various sequences of polynomials by the names of Fibonacci and Lucas polynomials occur in the literature over a century. The Fibonacci polynomials and Lucas polynomials are famous for possessing wonderful and amazing properties and identities. In this paper, Generalized Fibonacci-Lucas Polynomials are introduced and defined by the recurrence relation
Mamta Singh +3 more
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A Geometric Multigrid Preconditioner for Discontinuous Galerkin Shifted Boundary Method
International Journal for Numerical Methods in Engineering, Volume 127, Issue 21, 15 November 2026.ABSTRACT I introduce a geometric multigrid preconditioner for the Shifted Boundary Method (SBM) designed to solve PDEs on complex geometries. While the SBM simplifies mesh generation by using a nonconforming background grid, it often results in nonsymmetric linear systems, a complete analysis of which is missing from the literature, especially with ...
Michał Wichrowski
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The h(x)-Lucas quaternion polynomials [PDF]
In this paper, we study h(x)-Lucas quaternion polynomials considering several properties involving these polynomials and we present the exponential generating functions and the Poisson generating functions of the h(x)-Lucas quaternion polynomials ...
Kilic, Nayil
core
, 2023 In this work, we define a more general family of polynomials in several variables satisfying a linear recurrence relation. Then we provide explicit formulas and determinantal expressions. Finally, we apply these results to recurrent polynomials of order $
Zriaa, Said, Mouçouf, Mohammed
core
Trivariate Fibonacci and Lucas polynomials [PDF]
, 2018 Yüksek Lisans TeziBu çalışma beş bölümden oluşmaktadır. Birinci bölümde Tribonacci sayıları ve polinomlarının tanımları ve bazı özellikleri verilmiştir.
Kılınç, Hatice
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