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The Maximum Modulus Theorem

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Functions of One Complex Variable

Part of the book series: Graduate Texts in Mathematics ((GTM,volume 11))

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Abstract

This chapter continues the study of a property of analytic functions first seen in Theorem IV. 3.11. In the first section this theorem is presented again with a second proof, and other versions of it are also given. The remainder of the chapter is devoted to various extensions and applications of this maximum principle.

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© 1973 Springer-Verlag New York Inc.

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Conway, J.B. (1973). The Maximum Modulus Theorem. In: Functions of One Complex Variable. Graduate Texts in Mathematics, vol 11. Springer, New York, NY. https://doi.org/10.1007/978-1-4615-9972-2_6

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  • DOI: https://doi.org/10.1007/978-1-4615-9972-2_6

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-90062-9

  • Online ISBN: 978-1-4615-9972-2

  • eBook Packages: Springer Book Archive

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