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.
Funding Statement
This work was supported by the ANR De rerum natura project, grant ANR-19-CE40-0018 of the French Agence Nationale de la Recherche.
Citation
Julien ROQUES. "Frobenius method for Mahler equations." J. Math. Soc. Japan 76 (1) 229 - 268, January, 2024. https://doi.org/10.2969/jmsj/89258925
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