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.

翻译：利用哈恩级数，可以为任意线性马勒方程在零点处构造一个解基，其形式类似于线性微分方程在正则奇点处的解。我们证明，这类解基可以通过弗罗贝尼乌斯方法的变体来构造。