Presentation Name: | Quasiconformal surgery and linear differential equations |
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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. |
Annual Speech Directory: | No.31 |
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