Works (3)
Updated: July 5th, 2023 15:39
2017 journal article
Computation of the difference-differential Galois group and differential relations among solutions for a second-order linear difference equation
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 19(6).
author keywords: Difference equations; differential equations; difference Galois theory; difference-differential Galois theory
www.worldscientific.com (publisher PDF)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
9. Industry, Innovation and Infrastructure
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2017 journal article
Galois groups for integrable and projectively integrable linear difference equations
JOURNAL OF ALGEBRA, 480, 423–449.
author keywords: Differential Galois theory of difference equations; Linear differential algebraic groups; Hypertranscendence; Difference algebra; Differential algebra
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
9. Industry, Innovation and Infrastructure
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2016 journal article
On the computation of the parameterized differential Galois group for a second-order linear differential equation with differential parameters
JOURNAL OF SYMBOLIC COMPUTATION, 75, 25–55.
author keywords: Parameterized differential equation; Parameterized Picard-Vessiot theory; Linear differential algebraic group; Unipotent radical; Creative telescoping
TL;DR:
Algorithms to compute the differential Galois group G associated via the parameterized Picard-Vessiot theory to a parameterized second-order linear differential equation are presented and a complete set of criteria to decide whether any of the solutions to a parameters-based differential equation is ?
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
9. Industry, Innovation and Infrastructure
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
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