Results 1 to 10 of about 47,072 (207)
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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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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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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Orthogonalizing q −Bernoulli Polynomials
Demonstratio Mathematica, 2023 In this study, we utilize the Gram-Schmidt orthogonalization method to construct a new set of orthogonal polynomials called O B n ( x , q ) from the q−Bernoulli polynomials. We demonstrate the relationship between O B n ( x , q ) polynomials and the little q−Legendre polynomials, and derive a generalized formula for O B n ( x , q ) by leveraging the ...
Naim Tuglu, SEMRA KUŞ
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DENOMINATORS OF BERNOULLI POLYNOMIALS [PDF]
Mathematika, 2018 25 ...
Bordellès, Olivier +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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Values of Bernoulli polynomials [PDF]
Pacific Journal of Mathematics, 1996 The main objective of this paper is to derive a formula for the expression \(B_{p-1} (a/q)- B_{p- 1}\bmod p\). Here, \(p\) is an odd prime, \(q\) and \(a\) are relatively prime integers, \(1\leq a\leq q\), and \(p\) does not divide \(q\). \(B_n\) means the Bernoulli number and \(B_n (t)\) the \(n\)th Bernoulli polynomial.
Granville, Andrew, Sun, Zhi-Wei
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Lagrange-Based Hypergeometric Bernoulli Polynomials
Symmetry, 2022 Special polynomials play an important role in several subjects of mathematics, engineering, and theoretical physics. Many problems arising in mathematics, engineering, and mathematical physics are framed in terms of differential equations. In this paper, we introduce the family of the Lagrange-based hypergeometric Bernoulli polynomials via the ...
Sahar Albosaily +3 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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