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math.CV2016
Piecewise Weierstrass preparation and division for o-minimal holomorphic functions
Tobias Kaiser
Given an o-minimal structure expanding the field of reals, we show a piecewise Weierstrass preparation theorem and a piecewise Weierstrass division theorem for definable holomorphi…
math.CV2016
Asymptotic behaviour of the Riemann mapping function at analytic cusps
Tobias Kaiser, Sabrina Lehner
We completely describe the asymptotic behaviour of the Riemann mapping function and its derivatives at an analytic cusp. We achieve the same for the inverse of the mapping function…