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cs.SC2016★ 16 cited
Computing solutions of linear Mahler equations
Frédéric Chyzak, Thomas Dreyfus, Philippe Dumas +1
Mahler equations relate evaluations of the same function at iterated th powers of the variable. They arise in particular in the study of automatic sequences and in the compl…
math.NT2016★ 6 cited
Functional relations of solutions of q-difference equations
Thomas Dreyfus, Charlotte Hardouin, Julien Roques
In this paper, we study the algebraic relations satisfied by the solutions of -difference equations and their transforms with respect to an auxiliary operator. Our main tool is…