Conformal Mapping of Multiply Connected Domains

Norbert Steinmetz ()
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Norbert Steinmetz: TU Dortmund, Department of Mathematics

Chapter 10 in Lectures on Complex Analysis, 2026, pp 245-258 from Springer

Abstract: Abstract 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.

Date: 2026
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DOI: 10.1007/978-3-032-13996-2_10

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