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Published in:
2011 | OriginalPaper | Chapter
Argument Principle and Rouché and Hurwitz Theorems
Authors : Ravi P. Agarwal, Kanishka Perera, Sandra Pinelas
Published in: An Introduction to Complex Analysis
Publisher: Springer US
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We begin this lecture with an extension of Theorem 26.3 known as the Argument Principle. This result is then used to establish Rouché’s Theorem, which provides locations of the zeros and poles of meromorphic functions. We shall also prove an interesting result due to Hurwitz.