Zobrazeno 1 - 10
of 78
pro vyhledávání: '"Feng, Ruyong"'
We prove a differential analogue of Hilbert's irreducibility theorem. Let $\mathcal{L}$ be a linear differential operator with coefficients in $C(\mathbb{X})(x)$ that is irreducible over $\overline{C(\mathbb{X})}(x)$, where $\mathbb{X}$ is an irreduc
Externí odkaz:
http://arxiv.org/abs/2403.13228
We propose investigating a summation analog of the paradigm for parallel integration. We make some first steps towards an indefinite summation method applicable to summands that rationally depend on the summation index and a P-recursive sequence and
Externí odkaz:
http://arxiv.org/abs/2402.04684
Publikováno v:
Proceedings of ISSAC'23,2023
This paper continues the studies of symbolic integration by focusing on the stability problems on D-finite functions. We introduce the notion of stability index in order to investigate the order growth of the differential operators satisfied by itera
Externí odkaz:
http://arxiv.org/abs/2311.05897
Autor:
Feng, Ruyong, Lu, Wei
We study the relation between the Galois group $G$ of a linear difference-differential system and two classes $\mathcal{C}_1$ and $\mathcal{C}_2$ of groups that are the Galois groups of the specializations of the linear difference equation and the li
Externí odkaz:
http://arxiv.org/abs/2211.01977
Autor:
Feng, Ruyong, Wibmer, Michael
We study families of linear differential equations parametrized by an algebraic variety $\mathcal{X}$ and show that the set of all points $x\in \mathcal{X}$, such that the differential Galois group at the generic fibre specializes to the differential
Externí odkaz:
http://arxiv.org/abs/2209.01581
For points $(a,b)$ on an algebraic curve over a field $K$ with height $\mathfrak{h}$, the asymptotic relation between $\mathfrak{h}(a)$ and $\mathfrak{h}(b)$ has been extensively studied in diophantine geometry. When $K=\overline{k(t)}$ is the field
Externí odkaz:
http://arxiv.org/abs/2111.13025
For given multivariate functions specified by algebraic, differential or difference equations, the separability problem is to decide whether they satisfy linear differential or difference equations in one variable. In this paper, we will explain how
Externí odkaz:
http://arxiv.org/abs/2102.03693
Telescopers for a function are linear differential (resp. difference) operators annihilated by the definite integral (resp. definite sum) of this function. They play a key role in Wilf-Zeilberger theory and algorithms for computing them have been ext
Externí odkaz:
http://arxiv.org/abs/2101.06576
Autor:
Feng, Ruyong, Feng, Shuang
Let $f(t, y,y')=\sum_{i=0}^d a_i(t, y)y'^i=0$ be a first order ordinary differential equation with polynomial coefficients. Eremenko in 1999 proved that there exists a constant $C$ such that every rational solution of $f(t, y,y')=0$ is of degree not
Externí odkaz:
http://arxiv.org/abs/2005.01289
Autor:
Feng, Ruyong
In this note, we describe a method to construct the Picard-Vessiot ring of a given linear differential equation.
Comment: 8 pages
Comment: 8 pages
Externí odkaz:
http://arxiv.org/abs/1910.01464