Frobenius method for Mahler equations
arXiv:2503.12995 · doi:10.2969/jmsj/89258925
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.
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