Presentation Name: Quasiconformal surgery and linear differential equations
Presenter⬇️👱🏿‍♂️: Walter Bergweiler
Date: 2017-03-24
Location: 光华东主楼2001
Abstract:

We describe a new method of constructing transcendental entire functions A such that the differential equation w" + Aw = 0 has two linearly independent solutions with relatively few zeros. In particular, we solve a problem of Bank and Laine by showing that there exist entire functions A of any prescribed order greater than 1/2 such that the differential equation has two linearly independent solutions whose zeros have finite exponent of convergence.

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