Results 41 to 50 of about 1,498,288 (136)
Local Euler-Maclaurin expansion of Barvinok valuations and Ehrhart coefficients of a rational polytope [PDF]
, 2008 International audienceWe extend to Barvinok's valuations the Euler-Maclaurin expansion formula which we obtained previously for the sum of values of a polynomial over the integral points of a rational polytope.
Vergne, Michèle +11 more
core +1 more source
Viscovatov-Like Algorithm of Thiele–Newton’s Blending Expansion for a Bivariate Function
Mathematics, 2019 In this paper, Thiele−Newton’s blending expansion of a bivariate function is firstly suggested by means of combining Thiele’s continued fraction in one variable with Taylor’s polynomial expansion in another variable.
Shengfeng Li, Yi Dong
doaj +1 more source
On Cyclotomic Polynomial Coefficients
, 2020 For a positive integer n > 1 the n-th cyclotomic polynomial is defined by (Formula presented) where ς are the primitive n-th roots of unity. These polynomials are known to possess many interesting properties.
Andrica, D., Bagdasar, O.
core
Sum of squares decomposition of positive polynomials with rational coefficients [PDF]
, 2023 We present an example of a strictly positive polynomial with rational coefficients that can be decomposed as a sum of squares of polynomials over $\R$ but not over $\Q$. This answers an open question by C.
Laplagne, Santiago
core
Computation of focus quantities of three-dimensional polynomial systems
上海师范大学学报. 自然科学版, 2014 Fix a collection of polynomial vector fields on R3 with a singularity at the origin,for every one of which the linear part at the origin has two pure imaginary and one non-zero eigenvalue.Some such systems admit a local analytic first integral,which then
Valery G. Romanovski, Douglas S. Shafer
doaj +1 more source
Some inequalities for rational function with prescribed poles and restricted zeros
Demonstratio MathematicaIn this article, we first prove some auxiliary results in the form of lemmas using an improved Schwarz lemma at the boundary recently proved by Mercer. Furthermore, we establish some new inequalities for rational functions on the unit disk in the complex
Soraisam Robinson +2 more
doaj +1 more source
Rational Polynomial Chaos Expansions for the Stochastic Macromodeling of Network Responses [PDF]
, 2020 This paper introduces rational polynomial chaos expansions for the stochastic modeling of the frequency-domain responses of linear electrical networks.
Manfredi P., Grivet-Talocia S.
core +1 more source
Polynomials Generating Maximal Real Subfields of Circular Fields [PDF]
Учёные записки Казанского университета: Серия Физико-математические науки, 2016 We have constructed recurrence formulas for polynomials qn(x) ɕ Q[x], any root of which generates the maximal real subfield of circular field K2n. It has been shown that all real subfields of fixed field K2n can be described by using polynomial qn(x) and
I.G. Galyautdinov, E.E. Lavrentyeva
doaj
, 2020 This paper is devoted to the study of second order linear difference equations with polynomial coefficients subject to multipoint boundary conditions. We provide necessary and sufficient conditions for the existence and uniqueness of solutions and find ...
P. Hahamis +4 more
core +1 more source
On summation of Fourier series in finite form
Discrete and Continuous Models and Applied Computational ScienceThe problem of summation of Fourier series in finite form is formulated in the weak sense, which allows one to consider this problem uniformly both for classically convergent and for divergent series. For series with polynomial Fourier coefficients \(a_n,
Mikhail D. Malykh, Ksaverii Yu. Malyshev
doaj +1 more source