On the meromorphic solutions of a certain type of nonlinear difference-differential equation [PDF]
Mathematica Bohemica, 2023 The main objective of this paper is to give the specific forms of the meromorphic solutions of the nonlinear difference-differential equation f^n(z)+P_d(z,f)=p_1(z){\rm e}^{\alpha_1(z)}+p_2(z){\rm e}^{\alpha_2(z)}, where $P_d(z,f)$ is a difference ...
Sujoy Majumder, Lata Mahato
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Rational approximation of discrete data with asymptomatic behaviour [PDF]
This thesis is concerned with the least-squares approximation of discrete data that appear to exhibit asymptotic behaviour. In particular, we consider using rational functions as they are able to display a number of types of asymptotic behaviour.
Cooper, Philip
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Computation of the Highest Coefficients of Weighted Ehrhart Quasi-polynomials of Rational Polyhedra [PDF]
Foundations of Computational Mathematics, 2011 This article concerns the computational problem of counting the lattice points inside convex polytopes, when each point must be counted with a weight associated to it. We describe an efficient algorithm for computing the highest degree coefficients of the weighted Ehrhart quasi-polynomial for a rational simple polytope in varying dimension, when the ...
BALDONI, MARIA +4 more
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Sums of squares of polynomials with rational coefficients [PDF]
Journal of the European Mathematical Society, 2016 We construct families of explicit (homogeneous) polynomials f over \mathbb Q that are sums of squares of polynomials over \
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The distribution of Mahler's measures of reciprocal polynomials
International Journal of Mathematics and Mathematical Sciences, 2004 We study the distribution of Mahler's measures of reciprocal polynomials with complex coefficients and bounded even degree. We discover that the distribution function associated to Mahler's measure restricted to monic reciprocal polynomials is a ...
Christopher D. Sinclair
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Games for the Strategic Influence of Expectations [PDF]
Electronic Proceedings in Theoretical Computer Science, 2014 We introduce a new class of games where each player's aim is to randomise her strategic choices in order to affect the other players' expectations aside from her own.
Lluís Godo, Enrico Marchioni
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ε-arithmetics for real vectors and linear processing of real vector-valued signals
Journal of Information and Intelligence, 2023 In this paper, we introduce a new concept, namely ε-arithmetics, for real vectors of any fixed dimension. The basic idea is to use vectors of rational values (called rational vectors) to approximate vectors of real values of the same dimension within ε ...
Xiang-Gen Xia
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Approximation by rational functions with polynomials of positive coefficients as the denominators
Analysis in Theory and Applications, 2006 Summary: The present paper proves that if \(f(x)\in C_{[0,1]}\), changes its sign exactly \(l\) times at \(0< y_1 ...
Yu, Dansheng, Zhou, Songping
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An inequality for polynomials with positive coefficients and applications in rational approximation [PDF]
Journal of Mathematical Inequalities, 2008 We extend an inequality of Leviatan and Lubinsky ((3: Theorem 3.1)) to polynomials with positive coefficients. Two applications in approximation by rational functions with pre- scribed numerators are given.
Dansheng Yu, Songping Zhou
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On Leibniz-Poisson special polynomial identities
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014 In this paper we study Leibniz-Poisson algebras satisfying polynomial identities. We study Leibniz-Poisson special and Leibniz-Poisson extended special polynomials.
Sergey M Ratseev, Olga I Cherevatenko
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