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Conformal Equivalence for Finitely Connected Regions

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Functions of One Complex Variable II

Part of the book series: Graduate Texts in Mathematics ((GTM,volume 159))

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Abstract

In this chapter it will be shown that each finitely connected region is conformally equivalent to a variety of canonical regions. Subject to certain normalizations, such conformal equivalences are unique. We begin with some basic facts about complex analysis on finitely connected regions.

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© 1995 Springer Science+Business Media New York

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Conway, J.B. (1995). Conformal Equivalence for Finitely Connected Regions. In: Functions of One Complex Variable II. Graduate Texts in Mathematics, vol 159. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0817-4_3

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  • DOI: https://doi.org/10.1007/978-1-4612-0817-4_3

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-6911-3

  • Online ISBN: 978-1-4612-0817-4

  • eBook Packages: Springer Book Archive

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