Results 11 to 20 of about 302,926 (303)
Annular Bounds for the Zeros of a Polynomial [PDF]
International Journal of Mathematics and Mathematical Sciences, 2018 The problem of obtaining the smallest possible region containing all the zeros of a polynomial has been attracting more and more attention recently, and in this paper, we obtain several results providing the annular regions that contain all the zeros of ...
Le Gao, N. K. Govil
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A note on the structure of the zeros of a polynomial and Sendov's conjecture [PDF]
Cubo, 2023 In this note we prove a result that highlights an interesting connection between the structure of the zeros of a polynomial \(p(z)\) and Sendov's conjecture.
G. M. Sofi, W. M. Shah
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On the Zeros of Exponential Polynomials
Journal of the ACM, 2023 We consider the problem of deciding the existence of real roots of real-valued exponential polynomials with algebraic coefficients. Such functions arise as solutions of linear differential equations with real algebraic coefficients. We focus on two problems: theZero Problem, which asks whether an exponential polynomial has a real root, and theInfinite ...
Ventsislav Chonev +2 more
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On the relations between the zeros of a polynomial and its Mahler measure
, 2021 International audienceIn this work, we are dealing with some properties relating the zeros of a polynomial and its Mahler measure. We provide estimates on the number of real zeros of a polynomial, lower bounds on the distance between the zeros of a ...
Rhin, Georges +5 more
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A remark on simultaneous inclusions of the zeros of a polynomial by Gershgorin's theorem [PDF]
, 1973 Elsner L. A remark on simultaneous inclusions of the zeros of a polynomial by Gershgorin's theorem. Numerische Mathematik. 1973;21(5):425-427.By using Gershgorin's theorem and the theorems on minimal Gershgorin disks a posteriori error bounds for the ...
Elsner, Ludwig
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Asymptotically extremal polynomials with respect to varying weights and application to Sobolev orthogonality [PDF]
, 2008 9 pages, no figures.-- MSC2000 code: 33C45.MR#: MR2431543 (2009g:41009)Zbl#: Zbl 1155.33006We study the asymptotic behavior of the zeros of a sequence of polynomials whose weighted norms, with respect to a sequence of weight functions, have the same $n ...
Díaz Mendoza, Carlos J. +3 more
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Equidistribution of Zeros of Polynomials [PDF]
The American Mathematical Monthly, 2019 A classical result of Erdos and Turan states that if a monic polynomial has small size on the unit circle and its constant coefficient is not too small, then its zeros cluster near the unit circle and become equidistributed in angle. Using Fourier analysis we give a short and self-contained proof of this result.
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New polynomial-based molecular descriptors with low degeneracy. [PDF]
PLoS ONE, 2010 In this paper, we introduce a novel graph polynomial called the 'information polynomial' of a graph. This graph polynomial can be derived by using a probability distribution of the vertex set.
Matthias Dehmer +2 more
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SMIRNOV’S INEQUALITY FOR POLYNOMIALS HAVING ZEROS OUTSIDE THE UNIT DISC
Проблемы анализа, 2021 In 1887, the famous chemist D. I. Mendeleev posed the following problem: to estimate |𝑓 ′(𝑥)| for a real polynomial 𝑓 (𝑥), satisfying the condition |𝑓 (𝑥)| ≤ 𝑀 on [𝑎, 𝑏]. This question arose when Mendeleev was studying aqueous solutions.
E. G. Kompaneet, V. V. Starkov
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Time-relevant 2D behaviors [PDF]
, 2011 In this work we present some results on 2D behaviors described by linear constant coefficient partial difference equations where one of the independent variables, “time”, is distinguished and plays a special role. We call such systems ‘time-relevant’. We
Paolo Rapisarda +5 more
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