This chapter focuses on conformal mappings of multiply connected domains. The existence and uniqueness of such mappings onto various canonical domains, along with their most important properties, are established using different methods. The final section is dedicated to studying proper mappings of multiply connected domains onto the unit disc.

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Conformal Mapping of Multiply Connected Domains

  • Norbert Steinmetz

摘要

This chapter focuses on conformal mappings of multiply connected domains. The existence and uniqueness of such mappings onto various canonical domains, along with their most important properties, are established using different methods. The final section is dedicated to studying proper mappings of multiply connected domains onto the unit disc.