Computation of the difference-differential Galois group and differential relations among solutions for a second-order linear difference equation-Reference-Cited by-同舟云学术

Computation of the difference-differential Galois group and differential relations among solutions for a second-order linear difference equation

Published:2017-08-30 Issue:06 Volume:19 Page:1650056
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

Arreche Carlos E.¹

Affiliation:

1. Mathematics Department, North Carolina State University, Raleigh, North Carolina 27695-8205, USA

Abstract

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 homogeneous linear difference equation [Formula: see text] where the coefficients [Formula: see text] are rational functions in [Formula: see text] with coefficients in [Formula: see text]. We develop algorithms to compute the difference-differential Galois group associated to such an equation, and show how to deduce the differential-algebraic relations among the solutions from the defining equations of the Galois group.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219199716500565

Reference28 articles.

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