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math.AC2020
On the algebraic dependence of holonomic functions
Julien Roques, Michael F. Singer
We study the form of possible algebraic relations between functions satisfying linear differential equations. In particular , if f and g satisfy linear differential equations and a…
math.AC2015★ 21 cited
Hypertranscendence of solutions of Mahler equations
Thomas Dreyfus, Charlotte Hardouin, Julien Roques
The last years have seen a growing interest from mathematicians in Mahler functions. This class of functions includes the generating series of the automatic sequences. The present…