Zeros of solutions of linear differential equations

Mon, 05/01/2015 - 14:00
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This is a joint work with Walter Bergweiler.
We construct differential equations of the form w"+Aw=0, where $A$ 
is an entire function of finite order, with the property that two 
linearly independent solutions have finite exponent of convergence 
of zeros. This solves a problem proposed by Bank and Laine in 1982.