UNIPOTENT DIFFERENTIAL ALGEBRAIC GROUPS AS PARAMETERIZED DIFFERENTIAL
GALOIS GROUPS Page 1 671 doi:10.1017/S1474748013000200 c Cambridge University …

We study isomonodromicity of systems of parameterized linear differential equations and
related conjugacy properties of linear differential algebraic groups by means of differential …

We apply the differential Galois theory for difference equations developed by Hardouin and
Singer to compute the differential Galois group for a second-order linear q-difference …

We extend and apply the Galois theory of linear differential equations equipped with the
action of an endomorphism. The Galois groups in this Galois theory are difference algebraic …

We present algorithms to compute the differential Galois group G associated via the
parameterized Picard–Vessiot theory to a parameterized second-order linear differential …

The main motivation of our work is to create an efficient algorithm that decides
hypertranscendence of solutions of linear differential equations, via the parameterized and …

We apply the difference-differential Galois theory developed by Hardouin and Singer to
compute the differential-algebraic relations among the solutions to a second-order …

We study groups defined by algebraic difference equations. These groups occur as the
Galois groups of linear differential and difference equations depending on discrete …

We give simple necessary and sufficient conditions for the∂∂ t-transcendence of the
solutions to a parameterized second-order linear differential equation of the form where p∈ …

Affine difference algebraic groups are a generalization of affine algebraic groups obtained
by replacing algebraic equations with algebraic difference equations. We show that the …