Structural theorems for holomorphic self-maps of the punctured plane
This thesis concerns the iteration of transcendental self-maps of the punctured plane C* := C \ {O}, that is, functions f : C* --> C* that are holomorphic on C* and for which both zero and infinity are essential singularities. We focus on the escaping set of such functions, which consists of the...
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Open University
2016
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| Online Access: | http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.701360 |