On properties of Tribonacci-Lucas polynomials
, 2014 In this paper, we investigated properties of Tribonacci-Lucas polynomials which generalized Tribonacci-Lucas numbers. From this generalization, we also obtain some new algebraic properties on these numbers and polynomials as Binet formula, summation, binomial sum and generating function.
Kose, Hasan +2 more
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Soil Use and Management, Volume 42, Issue 3, July‐September 2026.ABSTRACT Sulfur (S) plays an important role in crop development and is stored both in the structure of soil organic compounds and as sulfate ions bound to the surfaces of clay minerals. In tropical and subtropical soils rich in clay minerals and iron/aluminium oxides, soil pH strongly influences the immediate availability of S because of its influence ...
Gustavo Pesini +6 more
wiley +1 more source
Roots of polynomial sequences in root‐sparse regions
Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.Abstract Given a family (qk)k$(q_k)_k$ of polynomials, we call an open set U$U$root‐sparse if the number of zeros of qk$q_k$ is locally uniformly bounded on U$U$. We study the interplay between the individual zeros of the polynomials qk$q_k$ and those of the m$m$th derivatives qk(m)$q_k^{(m)}$ in a root‐sparse open set U$U$, as k→∞$k\rightarrow \infty$.
Christian Henriksen +2 more
wiley +1 more source
Multiplicatively dependent integer vectors on a hyperplane
Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.Abstract We establish several asymptotic formulae and upper bounds for the count of multiplicatively dependent integer vectors that lie on a fixed affine hyperplane and have bounded height. This work constitutes a direct extension of the results obtained by Pappalardi, Sha, Shparlinski, and Stewart.
Muhammad Afifurrahman +2 more
wiley +1 more source
Generalizations of the Fibonacci and Lucas polynomials
Filomat, 2009 In this note we consider two sequences of polynomials, which are denoted by {Un(k),m} and {Vn(k),m}, where k, m, n are nonnegative integers, and m ? 2. These sequences represent generalizations of the well-known Fibonacci and Lucas polynomials. For example, if m = 2, then we obtain exactly the Fibonacci and Lucas polynomials. If m = 3, then polynomials
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Remarks on an Identity of Anastase and Díaz-Barrero
AxiomsWe extend an algebraic identity of Anastase and Díaz-Barrero (2022) and apply our results to deduce various formulas for sums and series involving (among others) Fibonacci and Lucas numbers, Bernoulli polynomials, and the Riemann zeta function.
Horst Alzer, Robert Frontczak
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Evaluation of the P-Δ (P-Delta) effect in columns and frames using the two-cycle method based on the solution of the beam-column differential equation. [PDF]
MethodsX, 2023 Burgos RB, Silva LE.
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On Some Identities and Symmetric Functions for Balancing Numbers
Journal of New Theory, 2018 In this paper, we derivenew generating functions of the product of balancing numbers, Lucas balancingnumbers and the Chebychev polynomials of the second kind by making use ofuseful properties of the symmetric functions mentioned in the paper.
Ali Boussayoud
doaj
Simulating accurate and effective solutions of some nonlinear nonlocal two-point BVPs: Clique and QLM-clique matrix methods. [PDF]
Heliyon, 2023 Izadi M, Singh J, Noeiaghdam S.
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A novel shifted Vieta-Lucas spectral collocation approach for multidimensional generalized Benjamin-Bona-Mahony-Burgers equations. [PDF]
Sci RepHafez RM +4 more
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