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 …

In this paper, we introduce the concept and representation of modified $\lambda $-
differential Lie triple systems. Next, we define the cohomology of modified $\lambda …

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 …

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 …

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 …

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 …

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 …

The notion of commutative integro-differential algebra was introduced for the algebraic study
of boundary problems for linear ordinary differential equations. Its noncommutative analog …

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 …

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) …