Abstract
Using the techniques of the hypercyclicity criterion, we prove that there is a meromorphic function f(z) on the complex plane whose translates f(z + n) for all n ≥ 1 are dense in the metric space of meromorphic functions on any region in the plane. In additions, we prove the analogue of the result for non-Euclidean translation on the unit disk.
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More From: Complex Variables, Theory and Application: An International Journal
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