Abstract
It is known that if f is a meromorphic map of the complement of three points on the extended complex plane into itself, then f is a Möbius map. We consider which subdomains of the extended complex plane also have this property.
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Beardon, A.F. Meromorphic Self-Maps of Regions. Comput. Methods Funct. Theory 10, 441–453 (2011). https://doi.org/10.1007/BF03321775
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DOI: https://doi.org/10.1007/BF03321775