Recent progress in an algebraic analysis approach to linear systems
D Robertz - Multidimensional Systems and Signal Processing, 2015 - Springer
This paper addresses systems of linear functional equations from an algebraic point of view.
We give an introduction to and an overview of recent work by a small group of people …
We give an introduction to and an overview of recent work by a small group of people …
Cohomologies of modified -differential Lie triple systems and applications
W Teng, F Long, Y Zhang - arXiv preprint arXiv:2307.10828, 2023 - arxiv.org
In this paper, we introduce the concept and representation of modified $\lambda $-
differential Lie triple systems. Next, we define the cohomology of modified $\lambda …
differential Lie triple systems. Next, we define the cohomology of modified $\lambda …
[图书][B] D-finite Functions
M Kauers - 2023 - Springer
A univariate function is called D-finite if it satisfies a linear differential equation with
polynomial coefficients. The concept of D-finiteness applies more generally to sequences …
polynomial coefficients. The concept of D-finiteness applies more generally to sequences …
Deformations and Extensions of Modified λ-Differential 3-Lie Algebras
W Teng, H Zhang - Mathematics, 2023 - mdpi.com
Mathematics | Free Full-Text | Deformations and Extensions of Modified λ-Differential
3-Lie Algebras Next Article in Journal Memory Tensor for Non-Markovian Dynamics with Random …
3-Lie Algebras Next Article in Journal Memory Tensor for Non-Markovian Dynamics with Random …
Some open problems related to creative telescoping
Creative telescoping is the method of choice for obtaining information about definite sums or
integrals. It has been intensively studied since the early 1990s, and can now be considered …
integrals. It has been intensively studied since the early 1990s, and can now be considered …
An algebraic study of Volterra integral equations and their operator linearity
L Guo, R Gustavson, Y Li - Journal of Algebra, 2022 - Elsevier
The algebraic study of special integral operators led to the notions of Rota-Baxter operators
and shuffle products which have found broad applications such as iterated integrals. This …
and shuffle products which have found broad applications such as iterated integrals. This …
[图书][B] Analytic integration methods in quantum field theory: an Introduction
J Blümlein - 2021 - Springer
A survey is given on the present status of analytic calculation methods and the mathematical
structures of zero-and single scale Feynman amplitudes which emerge in higher order …
structures of zero-and single scale Feynman amplitudes which emerge in higher order …
[HTML][HTML] Free integro-differential algebras and Gröbner–Shirshov bases
X Gao, L Guo, M Rosenkranz - Journal of Algebra, 2015 - Elsevier
The notion of commutative integro-differential algebra was introduced for the algebraic study
of boundary problems for linear ordinary differential equations. Its noncommutative analog …
of boundary problems for linear ordinary differential equations. Its noncommutative analog …
Rota–Baxter operators on the polynomial algebra, integration, and averaging operators
S Zheng, L Guo, M Rosenkranz - Pacific Journal of Mathematics, 2015 - msp.org
The concept of a Rota–Baxter operator is an algebraic abstraction of integration. Following
this classical connection, we study the relationship between Rota–Baxter operators and …
this classical connection, we study the relationship between Rota–Baxter operators and …
Universal enveloping of (modified) λ-differential Lie algebras
XS Peng, Y Zhang, X Gao, YF Luo - Linear and Multilinear Algebra, 2022 - Taylor & Francis
We introduce a new operator–a modified λ-differential operator–from a usual differential
operator. We construct the free (modified) λ-differential (k,∂)-algebra on a (modified) …
operator. We construct the free (modified) λ-differential (k,∂)-algebra on a (modified) …