# Difference algebraic relations among solutions of linear differential equations

@article{Vizio2013DifferenceAR, title={Difference algebraic relations among solutions of linear differential equations}, author={Lucia Di Vizio and Charlotte Hardouin and Michael Wibmer}, journal={arXiv: Commutative Algebra}, year={2013} }

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 groups and we use structure theorems for these groups to characterize the possible difference algebraic relations among solutions of linear differential equations. This yields tools to show that certain special functions are difference transcendent. One of our main results is a characterization of discrete… CONTINUE READING

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