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math.CA2026
Revisiting second-order linear differential equations over Hardy fields
Matthias Aschenbrenner, Lou van den Dries, Joris van der Hoeven
We review second-order homogeneous linear differential equations with coefficient functions whose germs lie in a Hardy field (and hence are strongly non-oscillating). We prove a co…
cs.SC2026
A zero-test for D-algebraic transseries
Shaoshi Chen, Hanqian Fang, Joris van der Hoeven
Consider formal power series that are defined as the solutions of a system of polynomial differential equations together with a sufficient numbe…