Results 21 to 30 of about 1,823 (264)
Asymptotics of orthogonal polynomials generated by a Geronimus perturbation of the Laguerre measure [PDF]
, 2016 This paper deals with monic orthogonal polynomials generated by a Geronimus canonical spectral transformation of the Laguerre classical measure for x in [0,?), ?
Deaño Cabrera, Alfredo +6 more
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, 2021 We first present a filtration on the ring Ln of Laurent polynomials such that the direct sum decomposition of its associated graded ring grLn agrees with the direct sum decomposition of grLn, as a module over the complex general linear Lie algebra gl(n),
Choi, C., Seo, H., Kim, S.
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A standard form in (some) free fields: How to construct minimal linear representations
Open Mathematics, 2020 We describe a standard form for the elements in the universal field of fractions of free associative algebras (over a commutative field). It is a special version of the normal form provided by Cohn and Reutenauer and enables the use of linear algebra ...
Schrempf Konrad
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Generic extensions and generic polynomials for linear algebraic groups [PDF]
Journal of Algebra, 2016 We show the existence of and explicitly construct generic polynomials for various groups, over fields of positive characteristic. The methods we develop apply to a broad class of connected linear algebraic groups defined over finite fields satisfying certain conditions on cohomology.
Chen, Eric +2 more
openaire +3 more sources
Symbolic Analysis for Boundary Problems: From Rewriting to Parametrized Groebner Bases [PDF]
, 2010 We review our algebraic framework for linear boundary problems (concentrating on ordinary differential equations). Its starting point is an appropriate algebraization of the domain of functions, which we have named integro-differential algebras.
Regensburger, Georg +4 more
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Spectra of some algebras of entire functions of bounded type, generated by a sequence of polynomials
Karpatsʹkì Matematičnì Publìkacìï, 2019 In this work, we investigate the properties of the topological algebra of entire functions of bounded type, generated by a countable set of homogeneous polynomials on a complex Banach space. Let $X$ be a complex Banach space. We consider a subalgebra $
S.I. Halushchak
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On λ-linear functionals arising from p-adic integrals on Z p $\mathbb{Z}_{p}$
Advances in Difference Equations, 2021 The aim of this paper is to determine the λ-linear functionals sending any given polynomial p ( x ) $p(x)$ with coefficients in C p $\mathbb{C}_{p}$ to the p-adic invariant integral of P ( x ) $P(x)$ on Z p $\mathbb{Z}_{p}$ and also to that of P ( x 1 + ⋯
Dae San Kim +4 more
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Solving Nonlinear Multi-Order Fractional Differential Equations Using Bernstein Polynomials
IEEE Access, 2023 This paper introduces two novel methods for solving multi-order fractional differential equations using Bernstein polynomials. The first method, referred to as the fractional operational matrix of differentiation of Bernstein polynomials, is employed to ...
Shahad Adil Taher Algazaa +1 more
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The complexity of some families of cycle-related graphs
Journal of Taibah University for Science, 2017 In this paper, we derive new formulas for the number of spanning trees of a specific family of graphs – gear graphs, flower graphs, sun graphs and sphere graphs – using techniques from linear algebra, Chebyshev polynomials and matrix theory.
S.N. Daoud, K. Mohamed
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Case study from Université Claude Bernard, Lyon 1
Open Education Studies, 2022 We present the Active Learning tools introduced in basic mathematics courses in the Preparatory Curriculum for Engineering schools at Université Claude Bernard.
Mercat Christian
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