Results 31 to 40 of about 2,413 (304)
SQUARE–FREE FACTORIZATION OF MIXED TRIGONOMETRIC–POLYNOMIALS [PDF]
, 2023 This paper proposes a procedure to square-free factorization of mixed trigonometric-polynomials and some examples are presented to show the effectiveness of the algorithm.
Xinyu, Ge; id_orcid, Shiping, Chen
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Are Khovanov-Rozansky polynomials consistent with evolution in the space of knots?
Journal of High Energy Physics, 2018 R-coloured knot polynomials for m-strand torus knots Torus [m,n] are described by the Rosso-Jones formula, which is an example of evolution in n with Lyapunov exponents, labelled by Young diagrams from R ⊗m .
A. Anokhina, A. Morozov
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014 We provide irreducibility criteria for multiplicative convolutions of polynomials with integer coefficients, that is, for polynomials of the form hdeg f · f(g/h), where f, g, h are polynomials with integer coefficients, and g and h are relatively prime ...
Bonciocat Anca Iuliana +2 more
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Defect and degree of the Alexander polynomial
European Physical Journal C: Particles and Fields, 2022 Defect characterizes the depth of factorization of terms in differential (cyclotomic) expansions of knot polynomials, i.e. of the non-perturbative Wilson averages in the Chern-Simons theory.
E. Lanina, A. Morozov
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On the factorization of lacunary polynomials
Acta Arithmetica, 2023 This paper addresses the factorization of polynomials of the form $F(x) = f_{0}(x) + f_{1}(x) x^{n} + \cdots + f_{r-1}(x) x^{(r-1)n} + f_{r}(x) x^{rn}$ where $r$ is a fixed positive integer and the $f_{j}(x)$ are fixed polynomials in $\mathbb Z[x]$ for $0 \le j \le r$.
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Computation of nonlinear eigenvalues based on the Ore determinant: preliminary results [PDF]
Proceedings of the Estonian Academy of SciencesThe concept of eigenvalues has recently been generalized for nonlinear systems, but the method to find them is missing. Unlike the linear case, now one has to deal with non-commutative polynomials from the Ore ring. In the paper, the Ore determinant of a
Miroslav Halás +3 more
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Generalizations of the Bernoulli and Appell polynomials
Abstract and Applied Analysis, 2004 We first introduce a generalization of the Bernoulli polynomials, and consequently of the Bernoulli numbers, starting from suitable generating functions related to a class of Mittag-Leffler functions.
Gabriella Bretti +2 more
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Stable Factorization of Strictly Hurwitz Polynomials [PDF]
, 2010 We propose a stable factorization procedure to generate a strictly Hurwitz polynomial from a given strictly positive even polynomial. This problem typically arises in applications involving real frequency techniques.
Yarman, B. Siddik +5 more
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On factorization of matrix polynomials [PDF]
, 2000 An interrelationship between the numerical range of matrix polynomials and its factorization, with linear or nonlinear factors, is investigated here.
Maroulas, J. +5 more
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On the Complexity of Noncommutative Polynomial Factorization [PDF]
Information and Computation, 2015 In this paper we study the complexity of factorization of polynomials in the free noncommutative ring $\mathbb{F}\langle x_1,x_2,\dots,x_n\rangle$ of polynomials over the field $\mathbb{F}$ and noncommuting variables $x_1,x_2,\ldots,x_n$. Our main results are the following.
Vikraman Arvind +2 more
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