Carlos E. Arreche

Works (3)

Updated: July 5th, 2023 15:39

2017 journal article

Galois groups for integrable and projectively integrable linear difference equations

JOURNAL OF ALGEBRA, 480, 423–449.

By: C. Arreche n & M. Singer n

author keywords: Differential Galois theory of difference equations; Linear differential algebraic groups; Hypertranscendence; Difference algebra; Differential algebra
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Added: August 6, 2018

2016 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).

By: C. Arreche n

author keywords: Difference equations; differential equations; difference Galois theory; difference-differential Galois theory
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2015 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.

By: C. Arreche n

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)
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