Frobenius method for Mahler equations
Symbolic Computation
2025-03-18 v1
Abstract
Using Hahn series, one can attach to any linear Mahler equation a basis of solutions at 0 reminiscent of the solutions of linear differential equations at a regular singularity. We show that such a basis of solutions can be produced by using a variant of Frobenius method.
Cite
@article{arxiv.2503.12995,
title = {Frobenius method for Mahler equations},
author = {Julien Roques},
journal= {arXiv preprint arXiv:2503.12995},
year = {2025}
}