Results 111 to 120 of about 497 (203)

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.
europepmc   +1 more source

Remarks on an Identity of Anastase and Díaz-Barrero

Axioms
We 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
doaj   +1 more source

Fibonacci, Lucas, and Spread Polynomials

This note gives an elementary exposition of a variant of the spread polynomials in terms of Fibonacci and Lucas polynomials.
openaire   +2 more sources

Collocation Method for the Time-Fractional Generalized Kawahara Equation Using a Certain Lucas Polynomial Sequence

Axioms
This paper proposes a numerical technique to solve the time-fractional generalized Kawahara differential equation (TFGKDE). Certain shifted Lucas polynomials are utilized as basis functions.
Waleed Mohamed Abd-Elhameed, Abdulrahman Khalid Al-Harbi, Omar Mazen Alqubori, Mohammed H. Alharbi, Ahmed Gamal Atta   +4 more
doaj   +1 more source

A Note on Generalized k-Order F&L Hybrinomials

Axioms
In this study, we introduce generalized k-order Fibonacci and Lucas (F&L) polynomials that allow the derivation of well-known polynomial and integer sequences such as the sequences of k-order Pell polynomials, k-order Jacobsthal polynomials and k-order ...
Süleyman Aydınyüz, Gül Karadeniz Gözeri   +1 more
doaj   +1 more source

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.
europepmc   +1 more source

The bi-periodic Horadam sequence and some perturbed tridiagonal 2-Toeplitz matrices: A unified approach. [PDF]

Heliyon, 2022
Anđelić M, da Fonseca CM, Yılmaz F.
europepmc   +1 more source

Architecture of the brain's visual system enhances network stability and performance through layers, delays, and feedback. [PDF]

PLoS Comput Biol, 2023
Velarde OM, Makse HA, Parra LC.
europepmc   +1 more source

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  

Extended Wang sum and associated products. [PDF]

PLoS One, 2022
Reynolds R, Stauffer A.
europepmc   +1 more source