Trigonometric Polynomial Solutions of Bernoulli Trigonometric Polynomial Differential Equations
Mathematics, 2022 We consider real trigonometric polynomial Bernoulli equations of the form A(θ)y′=B1(θ)+Bn(θ)yn where n≥2, with A,B1,Bn being trigonometric polynomials of degree at most μ≥1 in variables θ and Bn(θ)≢0.
Claudia Valls
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Bernoulli F-polynomials and Fibo–Bernoulli matrices [PDF]
Advances in Difference Equations, 2019 In this article, we define the Euler–Fibonacci numbers, polynomials and their exponential generating function. Several relations are established involving the Bernoulli F-polynomials, the Euler–Fibonacci numbers and the Euler–Fibonacci polynomials. A new
Semra Kuş, Naim Tuglu, Taekyun Kim
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Behavioral Modeling of Memristors under Harmonic Excitation [PDF]
Micromachines, 2023 Memristors are devices built on the basis of fourth passive electrical elements in nanosystems. Because of the multitude of technologies used for memristor implementation, it is not always possible to obtain analytical models of memristors.
Elena Solovyeva, Artyom Serdyuk
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Analytic solutions for Euler–Bernoulli beams with axial compression resting on a nonlinear elastic foundation using MADM [PDF]
Scientific ReportsThis article investigates the deflection behavior of Euler–Bernoulli beams subjected to axial compression and resting on a nonlinear elastic foundation.
Li-Kuo Chou, Ming-Xian Lin
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Computational modeling of surface energy effects on linear and nonlinear frequencies in different crystalline orientations of anodic aluminum micro-beams [PDF]
Scientific ReportsIn this paper, the influence of surface energy (SE) on the linear and nonlinear frequencies of anodic aluminum micro beams with [100] and [111] crystalline orientations resting on an elastic substrate are analyzed based on the Timoshenko beam (TB) and ...
Khalil Hajlaoui +3 more
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A Look at Generalized Degenerate Bernoulli and Euler Matrices
Mathematics, 2023 In this paper, we consider the generalized degenerate Bernoulli/Euler polynomial matrices and study some algebraic properties for them. In particular, we focus our attention on some matrix-inversion formulae involving these matrices.
Juan Hernández +2 more
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Accurate Approximation of the Matrix Hyperbolic Cosine Using Bernoulli Polynomials
Mathematics, 2023 This paper presents three different alternatives to evaluate the matrix hyperbolic cosine using Bernoulli matrix polynomials, comparing them from the point of view of accuracy and computational complexity.
José M. Alonso +3 more
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Journal of Inequalities and Applications, 2023 In this paper, a kind of bivariate Bernoulli-type multiquadric quasi-interpolation operator is studied by combining the known multiquadric quasi-interpolation operator with the generalized Taylor polynomial as the expansion in the bivariate Bernoulli ...
Ruifeng Wu
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Bernoulli-type Relations in Some Noncommutative Polynomial Ring [PDF]
, 2009 We find particular relations which we call "Bernoulli-type" in some noncommutative polynomial ring with a single nontrivial relation. More precisely, our ring is isomorphic to the universal enveloping algebra of a two-dimensional non-abelian Lie algebra.
Murata, Shunsuke
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The impact of the diagonals of polynomial forms on limit theorems with long memory [PDF]
, 2016 We start with an i.i.d. sequence and consider the product of two polynomial-forms moving averages based on that sequence. The coefficients of the polynomial forms are asymptotically slowly decaying homogeneous functions so that these processes have long ...
Bai, Shuyang, Taqqu, Murad S.
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